Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 2, Problem 14P
A glider of length 12.4 cm moves on an air track with constant acceleration (Fig P2.19). A time interval of 0.628 s elapses between the moment when its front end passes a fixed point Ⓐ along the track and the moment when its back end passes this point. Next, a time interval of 1.39 s elapses between the moment when the back end of the glider passes the point Ⓐ and the moment when the front end of the glider passes a second point Ⓑ farther down the track. After that, an additional 0.431 s elapses until the back end of the glider passes point Ⓑ. (a) Find the average speed of the glider as it passes point Ⓐ. (b) Find the acceleration of the glider. (c) Explain how you can compute the acceleration without knowing the distance between points Ⓐ and Ⓑ.
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A glider of length 12.4 cm moves on an air track with constant acceleration (shown). A time interval of 0.628 s elapses between the moment when its front end passes a fixed point Ⓐ along the track and the moment when itsback end passes this point. Next, a time interval of 1.39 s elapses between the moment when the back end of the glider passes the point Ⓐ and the moment when the front end of the glider passes a second point Ⓑ farther down the track. After that, an additional 0.431 s elapses until the backend of the glider passes point Ⓑ. (a) Find the average speed of the glider as it passes point Ⓐ. (b) Find the acceleration of the glider. (c) Explain how you can compute the acceleration without knowing the distance between points Ⓐ and Ⓑ.
Two fan carts are in a race. Fan cart A has a uniform acceleration of 5 (cm/s)/s, and starts the race at + 50 cm from the origin, from rest (initial velocity of 0 cm/s).
Fan cart B starts at the origin (0 cm) and from rest. You have the following position and time data for fan cart B.
t (s)
x (cm)
0.0
0.0
1.0
5.0
2.0
20.0
3.0
45.0
4.0
80.0
5.0
125.0
6.0
180.0
Determine to the nearest centimeter where fan cart B will pass fan cart A (where they are at the same position in cm).
Include in your submission:
1 Graph showing the position v. time of both fan carts.
Math model for BOTH fancarts (Position in cm = ....)
Slope sentence and vertical intercept sentence for one of the fan carts.
Another model of your choice (test plot, velocity-time graph, motion map, etc.).
A cat walks in a straight line, which we shall call the x-axis with the positive direction to the right. As an observant physicist, you make measurement of this cat's motion and construct a graph of the feline's velocity as a function of time. What distance (in cm) does the cat move from t=0 to t=7.5s?
Chapter 2 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 2.1 - Under which of the following conditions is the...Ch. 2.2 - Are members of the highway patrol more interested...Ch. 2.4 - Using Active Figure 2.8, match each vxt graph on...Ch. 2.4 - If a car is traveling eastward and slowing down,...Ch. 2.5 - Which of the following statements is true? (a) If...Ch. 2.7 - A ball is thrown upward. While the ball is in...Ch. 2 - One drop of oil falls straight down onto the road...Ch. 2 - When applying the equations of kinematics for an...Ch. 2 - Prob. 3OQCh. 2 - Prob. 4OQ
Ch. 2 - When the pilot reverses the propeller in a boat...Ch. 2 - A pebble is dropped from rest from the top of a...Ch. 2 - A student at the top of a building of height h...Ch. 2 - Prob. 8OQCh. 2 - As an object moves along the x axis, many...Ch. 2 - You drop a ball from a window located on an upper...Ch. 2 - A skateboarder starts from rest and moves down a...Ch. 2 - A ball is thrown straight up in the air. For which...Ch. 2 - A hard rubber ball, not affected by air resistance...Ch. 2 - Prob. 14OQCh. 2 - If a car is traveling eastward, can its...Ch. 2 - Prob. 2CQCh. 2 - (a) Can the equations of kinematics (Eqs....Ch. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - Prob. 6CQCh. 2 - Prob. 7CQCh. 2 - You throw a ball vertically upward so that it...Ch. 2 - Two cars are moving in the same direction in...Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - A person walks first at a constant speed of 5.00...Ch. 2 - A positiontime graph for a particle moving along...Ch. 2 - The position of a particle moving along the x axis...Ch. 2 - Find the instantaneous velocity of the particle...Ch. 2 - Prob. 8PCh. 2 - A hare and a tortoise compete in a race over a...Ch. 2 - An object moves along the x axis according to the...Ch. 2 - A particle moves along the x axis according to the...Ch. 2 - A student drives a moped along a straight road as...Ch. 2 - A particle starts from rest and accelerates as...Ch. 2 - A glider of length 12.4 cm moves on an air track...Ch. 2 - Figure P2.15 shows a graph of vx versus t for the...Ch. 2 - Draw motion diagrams for (a) an object moving to...Ch. 2 - Prob. 17PCh. 2 - The minimum distance required to stop a car moving...Ch. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - The driver of a car slams on the brakes when he...Ch. 2 - In the particle under constant acceleration model,...Ch. 2 - A truck on a straight road starts from rest,...Ch. 2 - A particle moves along the x axis. Its position is...Ch. 2 - A speedboat travels in a straight line and...Ch. 2 - In a classic clip on Americas Funniest Home...Ch. 2 - Prob. 29PCh. 2 - A baseball is hit so that it travels straight...Ch. 2 - Prob. 31PCh. 2 - It is possible to shoot an arrow at a speed as...Ch. 2 - A student throws a set of keys vertically upward...Ch. 2 - At time t = 0, a student throws a set of keys...Ch. 2 - A ball is thrown directly downward with an initial...Ch. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - A steam catapult launches a jet aircraft from the...Ch. 2 - An object is at x = 0 at t = 0 and moves along the...Ch. 2 - Colonel John P. Stapp, USAF, participated in...Ch. 2 - A woman is reported to have fallen 144 ft from the...Ch. 2 - A ball starts from rest and accelerates at 0.500...Ch. 2 - A glider of length moves through a stationary...Ch. 2 - Prob. 45PCh. 2 - The Acela is an electric train on the...Ch. 2 - Liz rushes down onto a subway platform to find her...Ch. 2 - A commuter train travels between two downtown...Ch. 2 - Prob. 49PCh. 2 - A motorist drives along a straight road at a...Ch. 2 - Prob. 51PCh. 2 - Astronauts on a distant planet toss a rock into...Ch. 2 - Prob. 53PCh. 2 - A hard rubber ball, released at chest height,...Ch. 2 - A man drops a rock into a well. (a) The man hears...Ch. 2 - Why is the following situation impossible? A...Ch. 2 - Two objects, A and B, are connected by a rigid rod...
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