Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 15.2, Problem 1aTH
In each of the following exercises, a motion will be described in terms of position, velocity, or acceleration. In each case:
- Translate the description of the motion into simpler words that describe how you would have to move to produce this motion. If it is not possible to reproduce this motion, explain why not.
- Sketch x versus t, v versus t, and a versus t graphs for the motion.
- Draw a picture of a track and a ball such that the ball will move with the corresponding motion. Indicate on your diagram:
- the initial location and initial direction of motion of the ball,
- the location of
- the positive direction.
The first exercise has been worked as an example.
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The chart below (attached to this submission) represents the kinematics of a freely falling body. Use the table to answer a-e.
a) Is the relationship between time and distance an arithmetic sequence?Explain.
b)The total distance a freely falling body covers in time, t, is given by theequation d(t)=1/2 gt^2 , where g is constant at 10 m/s^2. Show, in terms of n, the distance a falling body covers in t = n seconds of movement.
c)Show, in terms of n, the distance a falling body covers in t = n - 1 seconds of movement.
d) The distance a freely falling body covers in the nth second is given bys(n)=d(n)-d(n-1). Show s(n) in terms of g, in simplified form.
e). Prove that the quantities s(n) form an arithmetic sequence.
As a technical engineer in the army, you are part of a team in charge of testing and commissioning a new tankrecently purchased by the artillery.Field testing has revealed the following information:1) The tank moves from rest to a speed of 70 ??/ℎ? in 10 seconds.2) Using the breaking system, the tank is brought to a complete stop from a speed of 70 ??/ℎ? in 5 seconds.You are required to address all the questions below providing all calculations, graphs, and explanations asappropriate to back your answers
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As a technical engineer in the army, you are part of a team in charge of testing and commissioning a new tank recently purchased by the artillery. Field testing has revealed the following information: 1) The tank moves from rest to a speed of 70 ??/ℎ? in 10 seconds. 2) Using the breaking system, the tank is brought to a complete stop from a speed of 70 ??/ℎ? in 5 seconds. You are required to address all the questions below providing all calculations, graphs, and explanations as appropriate to back your answerFirst: Motion of the tank: a) Find the average driving acceleration of the tank. b) Calculate the average breaking acceleration of the tank. c) For parts (a) and b above parts report your answers in US Customary Units (mile/hr) so that the information could be shared with experts from the US. Second: Motion of the fired bomb: The tank is to be placed on a hill that is 1 km high above the ground. The enemy’s base is located at a horizontal distance of 10 km away and it is in a…
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...
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