Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 2, Problem 39PQ
(a)
To determine
Check whether the advice of the friend is good or bad.
(b)
To determine
Illustrate the correct statement with an example.
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Students have asked these similar questions
a.) Draw the distance vs. time graph. Find the slope. b.) Describe the graph line. What does it imply?
a.) Draw the speed vs. time graph. Find the slope. Describe the graph line. What does it imply? b.) Find the slope of the graph and compare it with the calculated acceleration.
Describe the motion of a freely falling body based on the results obtained.
If, by some suitable mechanism, the falling body had been given an initial downward push instead of being just released, would the resulting value of `g’ have been different? Explain.
Problems:
An object is dropped from rest at a height of 300 m.a. Find the velocity after 2 seconds.b. Find the time it takes for the object to reach the ground. c. With what velocity does it hit the ground?
A car starting from rest is accelerated 15 m/s2. In how many seconds will its velocity be equal to 100 m/s? How far will it have traveled during this same time?
You are traveling on an interstate highway at the posted speed limit of 70 mph when you see that the traffic in front of you has stopped due to an accident up ahead. You step on your brakes to slow down as quickly as possible. Assume that you to slow down to 30 mph in about 5 seconds.
a. What is the magnitude of the average acceleration of the car while it is slowing down?
Express your answer in feet per second squared.
b. With this same average acceleration, how much longer would it take you to stop?
c. What total distance would you travel from when you first apply the brakes until the car stops?
Express your answer in feet.
Chapter 2 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 2.2 - In each of the five motion diagrams shown in...Ch. 2.3 - For each of the following, give the vector...Ch. 2.5 - Figure 2.11 shows the motion of various objects:...Ch. 2.6 - The top marathon runners complete the race in...Ch. 2.6 - In our everyday experience, we sometimes use the...Ch. 2.6 - Prob. 2.6CECh. 2.8 - Kinematics graphs are great for showing how a...Ch. 2 - Is the Moons motion around the Earth...Ch. 2 - An animals tracks are frozen in the snow (Fig....Ch. 2 - Problems 3 and 12 are paired. G A particle moves...
Ch. 2 - Prob. 4PQCh. 2 - For each of the following velocity vectors, give...Ch. 2 - In the traditional Hansel and Gretel fable, the...Ch. 2 - After a long and grueling race, two cadets, A and...Ch. 2 - Prob. 8PQCh. 2 - Elisha Graves Otis invented the elevator brake in...Ch. 2 - As shown in Figure 2.9, Whipple chose a coordinate...Ch. 2 - Prob. 11PQCh. 2 - Prob. 12PQCh. 2 - A race car travels 825 km around a circular sprint...Ch. 2 - Prob. 14PQCh. 2 - A train leaving Albuquerque travels 293 miles, due...Ch. 2 - Prob. 16PQCh. 2 - The position of a particle attached to a vertical...Ch. 2 - Prob. 18PQCh. 2 - Prob. 19PQCh. 2 - Prob. 20PQCh. 2 - During a relay race, you run the first leg of the...Ch. 2 - Prob. 22PQCh. 2 - Prob. 23PQCh. 2 - Prob. 24PQCh. 2 - During a thunderstorm, a frightened child is...Ch. 2 - Scientists and engineers must interpret problems...Ch. 2 - Prob. 27PQCh. 2 - Prob. 28PQCh. 2 - A In attempting to break one of his many swimming...Ch. 2 - A The instantaneous speed of a particle moving...Ch. 2 - A particles velocity is given by vy(t)=atj, where...Ch. 2 - Prob. 32PQCh. 2 - Figure P2.33 shows the y-position (in blue) of a...Ch. 2 - A particles position is given by z(t) = (7.50...Ch. 2 - Prob. 35PQCh. 2 - Two sprinters start a race along a straight track...Ch. 2 - An electronic line judge camera captures the...Ch. 2 - During a bungee jump, a student (i) initially...Ch. 2 - Prob. 39PQCh. 2 - Prob. 40PQCh. 2 - Prob. 41PQCh. 2 - Prob. 42PQCh. 2 - Prob. 43PQCh. 2 - Prob. 44PQCh. 2 - A computer system, using a preset coordinate...Ch. 2 - In Example 2.6, we considered a simple model for a...Ch. 2 - A uniformly accelerating rocket is found to have a...Ch. 2 - Prob. 48PQCh. 2 - A driver uniformly accelerates his car such that...Ch. 2 - Car A and car B travel in the same direction along...Ch. 2 - Accelerating uniformly to overtake a slow-moving...Ch. 2 - An object that moves in one dimension has the...Ch. 2 - A particle moves along the positive x axis with a...Ch. 2 - Case Study Crall and Whipple attached a fan to a...Ch. 2 - Prob. 55PQCh. 2 - The engineer of an intercity train observes a rock...Ch. 2 - A pebble is thrown downward from a 44.0-m-high...Ch. 2 - In a cartoon program, Peter tosses his baby,...Ch. 2 - Tadeh launches a model rocket straight up from his...Ch. 2 - Prob. 60PQCh. 2 - In the movie Star Wars: The Empire Strikes Back,...Ch. 2 - A worker tosses bricks one by one to a coworker on...Ch. 2 - A rock is thrown straight up into the air with an...Ch. 2 - Prob. 64PQCh. 2 - A sounding rocket, launched vertically upward with...Ch. 2 - Prob. 66PQCh. 2 - While strolling downtown on a Saturday Afternoon,...Ch. 2 - Prob. 68PQCh. 2 - A trooper is moving due south along the freeway at...Ch. 2 - A dancer moves in one dimension back and forth...Ch. 2 - The electrical impulse initiated by the nerves in...Ch. 2 - Two cars leave Seattle at the same time en route...Ch. 2 - An object begins to move along the y axis and its...Ch. 2 - Prob. 74PQCh. 2 - Prob. 75PQCh. 2 - Two carts are set in motion at t = 0 on a...Ch. 2 - Prob. 77PQCh. 2 - Cars A and B each move to the right with constant...Ch. 2 - Prob. 79PQCh. 2 - Prob. 80PQCh. 2 - Prob. 82PQCh. 2 - Prob. 83PQCh. 2 - A Write expressions for the average acceleration...Ch. 2 - Prob. 85PQCh. 2 - Prob. 86PQCh. 2 - In 1898, the world land speed record was set by...Ch. 2 - In Example 2.12, two circus performers rehearse a...Ch. 2 - Prob. 89PQ
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- A cyclist rides 8.0 km east for 20 minutes, then he turns and heads west for 8 minutes and 3.2 km. Finally, he rides east for 16 km, which takes 40 minutes. (a) What is the final displacement of the cyclist? (b) What is his average velocity?arrow_forward(a) Sketch a graph of velocity versus time corresponding to the graph of displacement versus time given in the following figure. (b) Identify the time or times (ta,tb,tcetc.) at which the instantaneous velocity has the greatest positive value. (c) At which times is it zero? (d) At which times is it negative?arrow_forwardA student drives a moped along a straight road as described by the velocity-versus-time graph in Figure P2.12. Sketch this graph in the middle of a sheet of graph paper. (a) Directly above your graph, sketch a graph of the position versus time, aligning the time coordinates of the two graphs. (b) Sketch a graph of the acceleration versus time directly below the velocity-versus-time graph, again aligning the time coordinates. On each graph, show the numerical values of x and ax for all points of inflection. (c) What is the acceleration at t = 6.00 s? (d) Find the position (relative to the starting point) at t = 6.00 s. (e) What is the mopeds final position at t = 9.00 s? Figure P2.12arrow_forward
- An object is at x = 0 at t = 0 and moves along the x axis according to the velocitytime graph in Figure P2.40. (a) What is the objects acceleration between 0 and 4.0 s? (b) What is the objects acceleration between 4.0 s and 9.0 s? (c) What is the objects acceleration between 13.0 s and 18.0 s? (d) At what time(s) is the object moving with the lowest speed? (e) At what time is the object farthest from x = 0? (f) What is the final position x of the object at t = 18.0 s? (g) Through what total distance has the object moved between t = 0 and t = 18.0 s? Figure P2.40arrow_forwardA speedboat travels in a straight line and increases in speed uniformly from vi = 20.0 m/s to vf = 30.0 m/s in a displacement x of 200 m. We wish to find the time interval required for the boat to move through this displacement. (a) Draw a coordinate system for this situation. (b) What analysis model is most appropriate for describing this situation? (c) From the analysis model, what equation is most appropriate for finding the acceleration of the speedboat? (d) Solve the equation selected in part (c) symbolically for the boats acceleration in terms of vi, vf, and x. (e) Substitute numerical values to obtain the acceleration numerically. (f) Find the time interval mentioned above.arrow_forwardPete and Sue, two reckless teenage drivers, are racing eastward along a straight stretch of highway. Pete is traveling at 98.0 km/h, and Sue is chasing him at 125 km/h. a. What is Petes velocity with respect to Sue? b. What is Sues velocity with respect to Pete? c. If Sue is initially 325 m behind Pete, how long will it take her to catch up to him?arrow_forward
- A student drives a moped along a straight road as described by the velocitytime graph in Figure P2.32. Sketch this graph in the middle of a sheet of graph paper. (a) Directly above your graph, sketch a graph of the position versus time, aligning the time coordinates of the two graphs. (b) Sketch a graph of the acceleration versus time directly below the velocitytime graph, again aligning the time coordinates. On each graph, show the numerical values of x and ax for all points of inflection. (c) What is the acceleration at t = 6.00 s? (d) Find the position (relative to the starting point) at t = 6.00 s. (e) What is the mopeds final position at t = 9.00 s? Figure P2.32arrow_forwardAn object that moves in one dimension has the velocity-versus-time graph shown in Figure P2.52. At time t = 0, the object has position x = 0. a. At time t = 5 s. is the acceleration of the object positive, negative, or zero? Explain. b. At time t = 8 s, is the object speeding up, showing down, or moving with constant speed? Explain. c. Write an expression for the position of the object as a function of time. Explain how you use the graph to obtain your answer. d. Use your expression from part (c) to determine the time (if any) at which the object reaches its maximum position. Check your results by examining the graph. Hint: To get started with finding the maximum of a function, take the derivative and set it equal to zero.arrow_forward(a) A light-rail commuter train accelerates at a rate of 1.35m/s2 . How long does it take to reach its top speed of 80.0 km/h, starting from rest? (b) The same train ordinarily decelerates at a rate of 1.65m/s2 . How long does it take to came to a stop from its top speed? (c) In emergencies, the train can decelerate more rapidly, coming to rest from 80.0 km/h in 8.30 s. What is its emergency acceleration in meters per second sqquared?arrow_forward
- A speedboat travels in a straight line and increases in speed uniformly from i = 20.0 m/s to f = 30.0 m/s in displacement x of 200 m. We wish to find the time interval required for the boat to move through this displacement, (a) Draw a coordinate system for this situation, (b) What analysis model is most appropriate for describing this situation? (c) From the analysis model, what equation is most appropriate for finding the acceleration of the speedboat? (d) Solve the equation selected in part (c) symbolically for the boats acceleration in terms of i, f, and x. (e) Substitute numerical values lo obtain the acceleration numerically. (f) Find the time interval mentioned above.arrow_forwardCars A and B each move to the right with constant acceleration along a straight road. The velocity vectors of each car are shown in Figure P2.78 for several times separated by equal time intervals. For the entire interval from time t1 to time t4, car B is ahead of car A (that is, car B is to the right of car A), a. Is the acceleration of car B to the left, to the right, or zero? Explain. b. Is the magnitude of the acceleration of car A greater than, less than, or equal to the magnitude of the acceleration of car B? Explain your reasoning, c. Is the distance between car A and car B at time t3 greater than, less than, or equal to the distance between car A and car B at time t2? Explain.arrow_forwardA ball starts from rest and accelerates at 0.500 m/s2 while moving down an inclined plane 9.00 m long. When it reaches the bottom, the ball rolls up another plane, where it comes to rest after moving 15.0 m on that plane. (a) What is the speed of the ball at the bottom of the first plane? (b) During what time interval does the ball roll down the first plane? (c) What is the acceleration along the second plane? (d) What is the balls speed 8.00 m along the second plane?arrow_forward
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Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY