Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 15.5, Problem 4aTH
A bicycle coasts up a hill while a car drives up the hill at constant speed. The strobe diagram shows their positions at instants 1−4, separated by equal time intervals. The bicycle comes to rest relative to the road at instant 4.
- As measured in the reference frame of the road:
- Is the acceleration of the bicycle in the positive direction, in the negative direction, or zero? Explain.
- Are the velocity and acceleration of the bicycle in the same or in opposite directions?
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PROBLEMS
11.1◆ Speed addition. Darnell stands in a railroad coach that moves at speedc relative
to the Earth. He tosses a tennis ball forward at speed c relative to the train. If common
sense were correct, the tennis ball would be moving at speed c relative to the Earth.
a. How fast does the tennis ball really move relative to the Earth?
Darnell stands in a railroad coach that moves at speed c relative to the Earth.
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A proton moves in a horizontal line according to the
function s (t) = 4t³ – 6t + 3 t ≥ 0, where t
9
is measured in seconds, and S is measured in inches.
Answer the following questions labeling your
answers with proper units, if appropriate.
a. Find the velocity of the proton at time t.
b. Find the acceleration of the proton at time t.
c. At what time t is the proton moving at a rate of 6
inch/s?
d. At what time t is the proton at rest? You may give
your answer either in exact form or rounded to 4
decimal places.
After t seconds, a moving particle has position (in meters)
s(t) = t* – 4t3 – 20t² + 20, t > 0
a. What is the velocity of the particle at time t?
b. When is the particle moving forward? When is it moving backward? How can you tell?
c. When is the particle at rest? How can you tell?
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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