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1. Consider the data shown in Table 1 below. This data describes the position of a person walking in front of a motion detector as a function of time. That is, at each time shown, the person's distance from the motion detector is given. Plot the data points on the axes below, with position on the vertical axis and time on the horizontal axis. Table 1. Position vs. Time Data, First Trial position, in meters time elapsed, in seconds 4.04 1.19 4.61 2.09 5.40 3.15 6.06 4.07 6.96 5.14 7.73 6.09 7.14 8.47 9.21 8.15 position (m) 10 8 7 6 4 3 2 time (s) + 7 8 9 + + + 1 2 3 4 5 1.

1. Consider the data shown in Table 1 below. This data describes the position of a person walking in front of a motion detector as a function of time. That is, at each time shown, the person's distance from the motion detector is given. Plot the data points on the axes below, with position on the vertical axis and time on the horizontal axis. Table 1. Position vs. Time Data, First Trial position, in meters time elapsed, in seconds 4.04 1.19 4.61 2.09 5.40 3.15 6.06 4.07 6.96 5.14 7.73 6.09 7.14 8.47 9.21 8.15 position (m) caper ped 8. 7 2 time (s) + 3 4 5 6 7 + 1 2 8 9. 10 6 4)

1. Consider the data shown in Table 2 below. This data describes the position of a different person walking in front of a motion detector as a function of time. Plot the data points on the axes below, with position on the vertical axis and time on the horizontal axis. This time, you should notice that the data points do not form a straight line. Table 2. Position vs. Time Data, Second Trial time elapsed, in seconds time squared, in seconds squared position, in meters 0.51 0.33 1.08 1.62 1.66 3.54 2.10 5.61 2.56 8.35 3.18 12.81 3.59 16.29 4.07 20.88 position (m) 18 16+ 14+ 12+ 10+ 8 6. 4 + 2+ time (s) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 3. Now the data points on your plot should form a straight line (this process is called linearizing the data). Draw the best-fit line on your plot. Calculate the slope of the line, rounding to 3 significant figures. Show your work and record your result below. 20

Hi I am in phyiscs I and it has the problem a runner ran the marathon (approx. 26.1) in 2 hours and 57 min. What was the average speed of the runner in m/s? I understand that I would have to divide the total distance by the total time, but I'm not sure how they changed the miles to meters. Please break it down so I can understand. I tried to solve it how you guys did it but I keep getting another answer. Thank you!

1. An ant starts at the origin (x = 0) and crawls along the x - axis with velocity (in units/sec) given by the velocity function shown below. t is time since the ant started crawling at x=0. Assume positive velocity indicates that the ant is traveling to the right. Use the graph to answer each question. The graph crosses the t axis at (2, 0) 7 units/second seconds a. At what time does the ant stop? choose your units: Select an answer Select an answer b. How far has the ant crawled wh units seconds units/second choose your units: units/second/second c. At what time does the ant return to the origin (x=0)? choose your units: Select an answer d. Find the ant's acceleration. choose your units: Select an answer

A ball is thrown from the top of a building and falls to the ground below.   Its path is determine by the equation h=-4t square + 36t + 40, where h is the height above the ground in meters and t is the elapsed time in seconds. Determine: a. The maximum height the ball reaches and the time it takes to reach maximum height by using the method of completing the square.  Keep in fraction form. b. Determine when the ball hits the ground. c. What is the height of the building.

Explain the formula derivation of "velocity as a function of time". Explain it comprehensively in 3 sentences. Do not cite any examples. Just explain of how and why the formula is derived.

What is the acceleration (in units of feet per second squared) of a car that goes from 16 mph to 75 mph in a 10.0 second time period? How far does the car travel during that acceleration in units of feet? Make a list of all given values, units, and the variables they represent. Write the general form of the equation you are going to use. Solve the equation.

University Physics 1 - Kinematics: (Human reaction time using a ruler) Which out of these 4 equations of constant acceleration, with factors likeex. Distance - meters = 0.19mgravitational acceleration - a = 9.8 m/s^2no velocity - Vo = 0 Reaction time - s =? can bet set fit to find the reaction time (s)? even if you need to rewrite the equation formulas to best meet the units displayed above.

B. Directions: Read and analyse the word problem and answer the follow-up questions below. Instantaneous Velocity The velocity of a moving object at a point during its motion can be determined using derivatives. Given the function of the velocity of an object to be f(x) = -x? + 6x - 2, where f is the velocity, and x is the time in seconds. Find the instantaneous velocity of the object at the following instances: a. at the end of 1 second b. at the end of 3 seconds c. at the end of 5 seconds At what time is the object increasing or decreasing its velocity?

a (m/s*) B. Acceleration-Time Graph 1. A sailboat is sailing in a straight line with a velocity of 10 m/s. Then at time 1= 0 s, a stiff wind blows causing the sailboat to accelerate as seen 3+ in the diagram below. What is the velocity of the sailboat after the wind has blown for 7 seconds? Show + →t(s) 3 4. 6. your solution and answer below. -1+ -2+

6. A train is moving with a constant speed. The train moves 60 meters for every 1.5 seconds that elapses. a. Assume that we get 40 by dividing 60 by 1.5. What is the name that is commonly given to a quantity represented by this number 40? b. To denote the quantity completely, what additional information must be given besides the number 40? c. How would you interpret the number 40 in this instance? Your answer should mention distance and time. d. Use your interpretation (not algebra) to find the distance the train moves in 2.5 seconds.

What is the acceleration (in units of feet per second squared) of a car that goes from 15 mph to 75 mph in a 10.0 second time period? How far does the car travel during that acceleration in units of feet? Identify the quantity(variable) you are solving for. make a simple sketch to represent the data given. Make a list of all given values, units, and the variables they represent. Write the general form of the equation you are going to use. Solve the equation.

b. You rode a roller coaster with a total path length of 250 meters. After 3 rides, how much is your displacement? c. A paraglider started to descent in his wingsuit. Knowing that air resistance will be significant to make the paraglider to be safe, which of the following will happen to its acceleration and velocity vectors? d. A car moving at 100 km/hr along a straight road suddenly hit the brakes. Which of the following is true about the acceleration and velocity vectors? e. What is the acceleration of a car started from rest, and moved at 10 m/s for 10 s?

Speed of a car The accompanying figure shows the time-to- distance graph for a sports car accelerating from a standstill. P 650 600 500 E 400 300 200 100 5 10 15 20 Elapsed time (sec) a. Estimate the slopes of secant lines PQ,, PQ2, PQ3, and PQ4, arranging them in order in a table like the one in Figure 2.6. What are the appropriate units for these slopes? b. Then estimate the car's speed at time t = 20 sec. Distance (m)

Questions: 1. Given the following description of motion, plot a distance vs. time graph that matches the description. A student 1m away from a motion detector walks away from the motion detector for 3 seconds with a speed of 2m/s. The student then stops, ponders the value of this lab for the next 2 seconds. The student, remembering they left the motion detector on, proceeds to walk back towards the detector at a speed of 3m/s for 2 seconds. Draw this graph on the area provided. 2. What is the distance from the sensor at t = 4 seconds? 3. What is the slope at t = 6 seconds? What does this value mean? Position vs. Time 4 8 Time (s) Sidon (M) 3211 AS 77 6 5 0 0 2 5

Q1: An industry company has been tested their cars, the velocity of one of these cars was given by the equation: V = 0.05 (3t² + 8t) m/s. Calculate the position (in km) as well as its acceleration when the time is one minute, (to= 0 and So = 0).

Explain why we only consider one dimensional motion when using a single motion sensor. Based on the definition of velocity, describe what you should observe in the velocity vs. time graph if you were measuring a stationary, distant object and you suddenly slid and object into the beam from the side [hint: think about the behavior of the position graph in this case.]

X 0 C. Kinematics Graphs: Comparison Practice 5 e. A B 6 1. Two identical objects, A and B, move along straight, parallel, horizontal tracks. The graph above represents the position as a function of time for the two objects. t a. At approximately which time or times, if any, are the objects moving at the same speed? If the objects are never moving with the same speed during the interval shown, indicate this explicitly. Briefly explain your answer. b. (b) Describe what is happening to the positions of objects A and B between 0 seconds and 1 seconds. Describe what is happening to the positions of objects A and B between 4 seconds and 5 seconds. d. Which object, if either, has an acceleration with a greater magnitude during the time interval shown in the graph? If the accelerations have the same magnitude for both objects, indicate this explicitly. In a clear, coherent, paragraph-length response, explain your response to part (d). Be sure to reference and compare the graphed information…

Page 3 of 8 4. Lin went ice-skating and tracked his distance using a motion detector. Calculate the rate of change by analyzing the differences in the y-values and the differences in the x-values in the table. Calculate the rate of change again using the graph of Lin's skate. Explain why your answers make sense. Skater's Distance from Motion D

Eris Boreas pitched a baseball upward from the ground with a remarkable velocity of 192 ft/sec. The motion of the ball can be described by the equation s = -16t2 + vot + So. where s feet is the height of the object at t seconds, so feet is its initial height, and vo is its initial velocity. a. Write the equation that describes the ball's motion. b. How high will the baseball go? c. How long will it take for the baseball to reach its highest point? d. Find the instantaneous velocity of the ball at 4 seconds. e. Find the speed of the ball when it reaches the ground.

Kenny is climbing the stairs of his apartment building for exercise. Kenny weighs 83 kg and the height of a single step on the staircase is 11 inches. He climbs a flight of stairs in 4.0 seconds.  a.) calculate the rate at which the stairs can be climbed considering the given information (stairs per second). b.) How long can kenny sustain this pace (so like, continuously climbing the stairs and not leaping up a bunch of stairs at one instant)? c.) Why does Kenny descend stairs at a faster rate for a nearly unlimited time although very similar forces are exerted descending as they are ascending?(This points to a fundamentally different process for descending versus climbing stairs.)

You measure the motion of a dynamics cart using a motion sensor.  You then plot the cart’s position vs. time and velocity vs. time.  The best way of finding the average acceleration of the cart is to find: a. the y-intercept of the position vs. time plot. b. the y-intercept of the velocity vs. time plot. c. the slope of the position vs. time plot d. the slope of the velocity vs. time plot. e. none of the above

The position of a particle is given by the equation s(t)=10t^2−20/3 t^3−5/4 t^4+t^5 where t is measured in seconds and s in meters.      d. When is the particle moving forward?      e. When is the particle moving backward?      f. Draw a diagram to represent the motion of the particle.      g. Find the total distance traveled by the particle during the first four seconds.

As a train accelerates uniformly it passes successive 850 meter marks while traveling at velocities 1.5 m/s and then 15 m/s. a. For the first mark of the journey, what is the acceleration of the train in m/s sq? b. Determine the train's velocity when it passes the next mark in m/s. c. Determine the time it takes to travel the 1.7-km distance in seconds.

ather Puffer... Home A B Assignments Current Time: 11:15:49 PM general.physics.rutgers.edu m/s OC Awards - Google Docs Practice Assignment C G duke ellington - Google... Homework Opening Ceremony Itiner..... Time Left: 1 days 0 hours 40 minutes R General Physics Log Out 2. At a track and field meet, the best long jump is measured as 8.50 m. The jumper took off at an angle of 38.0° to the horizontal. What was the initial speed of the er?

a. what is the slope of the line in the picture attached? b. what is the physical meaning of the slope? recall how we used the expression "for every" when we said that the slope of the position vs time graph tells us the amount the position of the object changes for every second c. what is the physical significant of the vertical axis interceot of this graph? Fill in the blank The ____ intereceot tells us the value of the ____ when the _____ is equal to 0 d. Notice the velocity vs time graph  shows a linear relationship. What does this indicate about the otion of the puck? e. use the equation to predict the velocity of the puck if the motion continued to folllow the pattern shown in your grpah for 10 seconds.

1. At time t in seconds, a particle's distance s(t), in micrometers (μm), from a point is given by s(t) = e^t-1.    a.Suppose you want to approximate the instantaneous velocity at t=2 using average velocities. Describe, in a complete sentence or two, why average velocities over smaller time intervals yield better approximations.

1. A sprinter at a track and Field event is entered in a 500 m race. The starting gun goes off, accelerating every step of the way, he runs the distance of 63.50 seconds. What is the acceleration of the sprinter in units of meters per second squared? How fast is he going as he crosses the finish line in units of meters per second?  write the general form of the equation you are going use. list all given values, units, and variables they represent. solve the equation.

Hi I am in phyiscs I and it has the problem a runner ran the marathon (approx. 26.1) in 2 hours and 57 min. What was the average speed of the runner in m/s? I understand that I would have to divide the total distance by the total time, but I'm not sure how they changed the miles to meters. Please detalied steps of how to solve this so I can understand it. Thank you!

Molly flies her rocket past Nick at constant velocity v. Molly and Nick both measure the time it takes the rocket, from nose to tail, to pass Nick.Which of the following is true?A. Both Molly and Nick measure the same amount of time.B. Molly measures a shorter time interval than Nick.C. Nick measures a shorter time interval than Molly.

Hi I am in physics 1 and am trying to understand this problem. The problem saids a flea jumps vertically up at a speed of 2.1m/s.  How high does it reach before it starts to fall back down? I found the seconds it takes to of how long it takes which was 0.21s. But I'm not sure of the distance.  Please break this down and explain in detail. Thank you!