Answer part a & b also answer Part h which is not on the image attached but can you answer part h which is Find v: entire trip from 0 sec to tf sec
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Applications Of Reflection Of Light
When a light ray (termed as the incident ray) hits a surface and bounces back (forms a reflected ray), the process of reflection of light has taken place.
Sign Convention for Mirrors
A mirror is made of glass that is coated with a metal amalgam on one side due to which the light ray incident on the surface undergoes reflection and not refraction.
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- Consider an object moving along a line with the given velocity v. Assume time t is measured in secondsand velocities have units of m/s.a. Determine when the motion is in the positive direction and when it is in the negative direction.b. Find the displacement over the given interval.c. Find the distance traveled over the given interval.v(t) = 50e-2t on [0, 4]1. An object is launched with an initial velocity of 96 ft/sec. The height of the object, h, in feet at time, t seconds is given by h = -16t² + 96t. a. From what height is the object launched? b. How high is the object after 3 seconds? c. When does the object reach a height of 128 feet? d. When does the object hit the ground?1. Treat the motion of a particle which moves along the s-axis as shown. + 8, ft or m -1 1. 2. 3. The velocity of a particle is given by v where v is in meters per second and t is in seconds. 20r 120t + 25, Plot the velocity versus time graph for the first 10 seconds. Show the zero acceleration. b. Referring to Situation A, what is the velocity of the partidle when the acceleration becomes a. zero. Plot the acceleration versus time graph for the first 10 seconds. d. Describe the slope of the velocity and discuss its relationship to the acceleration of the particle. C.
- The motion of a 100g-particle in space is defined by the parametric equations x = t²+t and y = -t³+t²+t+2, where x and y are in meter unit and t is in seconds. At time t = 3 seconds, determine the following: 1. What is the magnitude of velocity, in m/s 2. What is magnitude of the acceleration, in m/s^2 3.What is the magnitude of the net force, in Newton unit, acting on the particle1. A drag car starts from rest and starts down the racetrack with an acceleration defined by a = 50 - 10t , where a andt are in m/s? and s, respectively. After reaching a speed of 125 m/s, a parachute is deployed to help slow down the dragster. Knowing that this deceleration is defined by the relationship a = - 0.02v?, where v is the velocity in m/s, determine (a) the total time from the beginning of the race until the car slows back down to 10 m/s, (b) the total distance the car travels during this time.1. The acceleration of a car is given by a(t) = A – Bt + Ct² , where A = 1.0 m/s², B = 0.5 m/s³, C = 2.0 m/s“. The car is at rest at the origin at time t= 0. Find its position and velocity as a function of time. b. Sketch its position, velocity, and acceleration. a.
- Problem 1: The Tesla Model S P85 electric car accelerates from 0 to 30 mph in 1.4 s, 0 to 60 mph in 3.5 s and 0 to 110 mph in 12.1 s. Estimate how far from the start (in meters) the car is at t=12.1 s. You are given limited information about the motion of the car, so you will need to make some reasonable assumption about how it accelerates. Describe what assumption you used to solve the problem. Problem 2: The Tesla Model S P85 electric car stops from 60 mph over a distance of 118 feet. Find the average deceleration of the car? Express it in multiples of the acceleration due to gravity, g. Compare it to the average acceleration from 0 to 60 mph in problem 1. Which one is greater, by magnitude?4. A particle is moving in a straight line and its distance s, in meters, from a fixed point in the line after t seconds is given by the equation, s(t) = 12 t - 15 t2 +4 t3 a. Find the velocity of the particle after 3 seconds. b. Find the acceleration at time t = 33.) You throw a ball straight up. The ball leaves your hand at a height of 2.00 m above the ground with a speed of 20.0 m/s (~45 mph). Ignore air resistance and use g = 10.0 m/s2 to answer the following questions. You can use a spreadsheet but show your sample calculations. 3a.) Calculate the height, y(t), and velocity, vy(t), at 0.50 second intervals until the ball hits the ground. Show your results in a table and put the units in the column headers: t (s), vy (m/s), y (m). 3b.) Use this data to draw a motion diagram for the ball at 0.50 second intervals. Label the height and the speed at each time interval. Label the origin, starting height, maximum height, and final height. Include the velocity vectors for each time and location of the ball. 3c.) Calculate the time it takes for the ball to hit the ground and the final velocity of the ball just as it hits the ground. Include this velocity vector in your diagram.
- 2. A body moves in a straight line so that its acceleration is a=3v, where a is in m/s? and v in m/s. If s=3m when v=1.2 m/s, find: a. v in terms of s b. The values of the velocity and acceleration when s=10mThe motion of a 100g-particle in space is defined by the parametric equations x = t²+t and y = -t³+t²+t+2, where x and y are in meter unit and t is in seconds. At time t = 3 seconds, determine the following: 1. At what time, in seconds, will the particle reach its maximum?2. What is the maximum height,in meters, reached by the particle?1.the speed of a nerve impulse in the human body is about 100 m/s. if you accidentally stub your toe in the dark. estimate the time it takes the nerve impulse to travel to your brain if the average height for humans are 1.7 m * 2.the cheetah can reach a top speed of 114 km/h. while chasing its prey in a short sprint, a cheetah starts from rest and runs 45m in a straight line, reaching a final speed of 72 km/h. what is the cheetah's average acceleration during the short sprint? 3.a certain car is capable of accelerating at a rate of 0.6 m/s^2. How long does it take for this car to go from a speed of 55 mi/h to a speed of 60mi/h. (be cautious of the units) * 4.an object moving with uniform acceleration has a velocity of 12cm/s in the positive x-direction when its x-coordinate is 3cm. if its x-coordinate 2s later is -5cm, what is its acceleration? * 5.a truck covers 40 m in 8.5 s while uniformly slowing down to a final velocity of 2.8 m/s. determine the truck's original speed. *