Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 15.5, Problem 3aTH
Car P moves to the west with constant speed
At instant 3, cars P and Q are adjacent to one another (i.e., they have the same position).
- In the reference frame of the road, at instant 3 is the speed of car Q greater than, less than, or equal to the speed of car P? Explain.
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Cars A and B approached each other on a straight road from points 496 meters apart. A has an initial speed of 71 kph and is decelerating at the rate of 0.47 m/s^2. B has an initial speed of 25 kph and is accelerating at the speed of 0.32 m/s^2. At what time (seconds) will the cars be 229 meters apart from each other? Round off to two decimal places.
First, we determine the position of the partic
x(t1) = x(2) = 2(2²) + 4 =
x(t2) = x(4) = 2(4²) + 4 = 36m
Compute the average speed in the given time interval:
x(t2) - x(t1)
36 12 24
Vave
t2 -t1
4 2
12 m/s
2
Evaluate
Time Duration: 1 hour)
Direction: Solve the following problems. Place your solution in a short bond
рaper.
1. An object moves along the x-axis according to the law s =
-는+2t2-1,
16
where s is in meters, t is in seconds.
a. Find time t when the acceleration is zero;
b. Calculate the object's velocity at this instant.
t3
2. The motion of a particle is given by the equation s = 2t*-+ 2t? where s is
in feet and t is in seconds. Compute the values ofv and a whent 2 sec.
16
3. A particles moves in a straight line according to the law s = t3 - 40t where
s is in feet and t is in seconds.
a. When t 5 sec, compute the velocity?
b. Find the average velocity during the fourth second?
C. When the particle again comes to rest, what is its acceleration?
A red Mazda Miata (type of car) accelerates from rest at a rate of a₁ in the positive x direction for a
total of 20.0 seconds. The Mazda then holds their speed and direction constant for a 20.0
additional seconds. Finally, while continuing in the positive x direction, the Mazda slows down at a
rate of a2 until the car stops moving.
We want to determine the total distance traveled by the Mazda and the average speed of the car if
we know a₁ and ₂.
(A) Sketch a graph of velocity versus time for this short trip. Label the time axis to indicate which
portions of the curve(s) correspond to the above intervals. Identify and write knowns and
unknowns
(B) Without using numerical values, determine which physics equations of motion will help solve
this problem. Simplify as useful for this particular case.
(C) If a₁ = 2.0 m/s² and a₂ = -3.0 m/s² determine the total distance traveled during all intervals
and the average velocity of the Mazda.
Chapter 15 Solutions
Tutorials in Introductory Physics
Ch. 15.1 - Describe the motion. During which periods of time,...Ch. 15.1 - Find the object’s instantaneous velocity at each...Ch. 15.1 - For each of the following intervals, find the...Ch. 15.1 - In which of the cased from part c, if any, is the...Ch. 15.1 - In the interval from t=0s to t=6s , does the...Ch. 15.1 - In the small box on the graph above is a portion...Ch. 15.1 - Next, we expand the section of the previous graph...Ch. 15.1 - All three graphs are representations of the same...Ch. 15.1 - Suppose that the object is speeding up. Which of...Ch. 15.1 - Suppose that the object is slowing down. Which of...
Ch. 15.1 - Describe how you could use these devices to...Ch. 15.1 - Describe how you could use these devices to...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - There are several answers for most of the...Ch. 15.2 - There are several answers for most of the...Ch. 15.2 - There are several answers for most of the...Ch. 15.3 - A ball rolls up, then down an incline. Sketch an...Ch. 15.3 - Sketch x versus t, v versus t, and a versus t...Ch. 15.3 - Sketch x versus t, v versus t, and a versus t...Ch. 15.3 - Sketch x versus t, v versus t, and a versus t...Ch. 15.3 - Describe the motion of an object: For which the...Ch. 15.3 - Describe the motion of an object: b. For which the...Ch. 15.3 - Describe the motion of an object: c. For which the...Ch. 15.3 - Describe the motion of an object: d. For which the...Ch. 15.3 - Two carts roll toward each other on a level table....Ch. 15.3 - Two carts roll toward each other on a level table....Ch. 15.3 - Two carts roll toward each other on a level table....Ch. 15.3 - In this problem, a Cart moves in various ways on a...Ch. 15.3 - In this problem, a Cart moves in various ways on a...Ch. 15.3 - In this problem, a Cart moves in various ways on a...Ch. 15.3 - Carts A and B move along a horizontal track. The...Ch. 15.3 - Carts A and B move along a horizontal track. The...Ch. 15.3 - Carts A and B move along a horizontal track. The...Ch. 15.3 - Carts A and B move along a horizontal track. The...Ch. 15.3 - Two cars, C and D, travel in the same direction on...Ch. 15.3 - Two cars, P and Q, travel in the same direction on...Ch. 15.3 - Two cars, P and Q, travel in the same direction on...Ch. 15.4 - Prob. 1aTHCh. 15.4 - Prob. 1bTHCh. 15.4 - Describe how you would determine the acceleration...Ch. 15.4 - Copy vG and vH (placed “tailtotail”) in the space...Ch. 15.4 - Generalize your results above and from tutorial to...Ch. 15.4 - For each instant, state whether the object is...Ch. 15.4 - The diagram at right illustrates how the...Ch. 15.4 - For each of the instants 14, compare your...Ch. 15.4 - Choose a point about 1/8th of the way around the...Ch. 15.4 - Prob. 3bTHCh. 15.4 - How would you characterize the direction of v as...Ch. 15.4 - Each of the following statements in incorrect....Ch. 15.4 - On the diagram at right, draw vectors that...Ch. 15.4 - On the diagram at right, draw vectors that...Ch. 15.4 - Draw arrows on the diagram at points AG to...Ch. 15.4 - Next to each of the labeled points, state whether...Ch. 15.4 - Draw arrows on the diagram below to show the...Ch. 15.4 - On the diagram at right, draw velocity vectors for...Ch. 15.4 - On the diagram at right, draw the acceleration...Ch. 15.4 - How does the magnitude of the acceleration at E...Ch. 15.5 - Reference frame of boat B: Complete the upper...Ch. 15.5 - Reference frame of boat A: Complete the diagram at...Ch. 15.5 - Is the speed of the kayak in the frame of boat A...Ch. 15.5 - Rank the following quantities in order of...Ch. 15.5 - A third riverboat, boat C, moves downstream so as...Ch. 15.5 - Prob. 2aTHCh. 15.5 - A car, a truck, and a traffic cone are on a...Ch. 15.5 - The relationship vcar,cone=vcar,truck+vtruck,cone...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...
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