Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
9th Edition
ISBN: 9781305266292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 4, Problem 3CQ
To determine
The average velocity and the instantaneous velocity of particle.
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SITUATION 1. The position coordinate of a particle which is confined to move along a straight line is given by, s=
2t³ 24t+ 6 where s is measured in meters from a convenient origin and t is in seconds.
a) Determine the time required for the particle to reach a velocity of 72m/s from its initial condition at t = 0.
b) Determine the acceleration of the particle when v = 30m/s?
c) Determine the net displacement of the particle during the interval from t = 1sec to t = 4sec.
1.A car moves counterclockwise from the x axis with its position vector 29m at 95 degree and is moving with a velocity of 4.5m/s at 40 degree. If its acceleration is 1.9m/s2 at 200 degree, find (a) its velocity(b) acceleration after 5s.,(c) plot a graph of the velocity(Y) vs time (X)and position vector(Y) vs time(X) in this case. Use t = 0,2,4,8,12,25,50s
Hint: From position ad velocity vectors, obtain the resultant position and velocity vector from X and Y components and tabulate them below and plot the graphs using those values.
Time(s)à
0
2
4
8
12
25
50
Position(m)à
Velocity(m/s)à
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Chapter 4 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
Ch. 4.1 - Consider the following controls in an automobile...Ch. 4.3 - (i) As a projectile thrown at an upward angle...Ch. 4.3 - Rank the launch angles for the five paths in...Ch. 4.4 - A particle moves in a circular path of radius r...Ch. 4.5 - A particle moves along a path, and its speed...Ch. 4 - Prob. 1OQCh. 4 - Entering his dorm room, a student tosses his book...Ch. 4 - A student throws a heavy red ball horizontally...Ch. 4 - Prob. 4OQCh. 4 - Does a car moving around a circular track with...
Ch. 4 - An astronaut hits a golf ball on the Moon. Which...Ch. 4 - Prob. 7OQCh. 4 - Prob. 8OQCh. 4 - A sailor drops a wrench from the top of a...Ch. 4 - A baseball is thrown from the outfield toward the...Ch. 4 - A set of keys on the end of a string is swung...Ch. 4 - A rubber stopper on the end of a string is swung...Ch. 4 - Prob. 13OQCh. 4 - A spacecraft drifts through space at a constant...Ch. 4 - Prob. 2CQCh. 4 - Prob. 3CQCh. 4 - Describe how a driver can steer a car traveling at...Ch. 4 - A projectile is launched at some angle to the...Ch. 4 - Construct motion diagrams showing the velocity and...Ch. 4 - Explain whether or not the following particles...Ch. 4 - Prob. 1PCh. 4 - When the Sun is directly overhead, a hawk dives...Ch. 4 - Suppose the position vector for a particle is...Ch. 4 - The coordinates of an object moving in the xy...Ch. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - The vector position of a particle varies in time...Ch. 4 - It is not possible to see very small objects, such...Ch. 4 - Prob. 9PCh. 4 - Review. A snowmobile is originally at the point...Ch. 4 - Mayan kings and many school sports teams are named...Ch. 4 - Prob. 12PCh. 4 - In a local bar, a customer slides an empty beer...Ch. 4 - Prob. 14PCh. 4 - A projectile is fired in such a way that its...Ch. 4 - Prob. 16PCh. 4 - Chinook salmon are able to move through water...Ch. 4 - Prob. 18PCh. 4 - The speed of a projectile when it reaches its...Ch. 4 - Prob. 20PCh. 4 - A firefighter, a distance d from a burning...Ch. 4 - Prob. 22PCh. 4 - A placekicker must kick a football from a point...Ch. 4 - A basketball star covers 2.80 m horizontally in a...Ch. 4 - A playground is on the flat roof of a city school,...Ch. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - A student stands at the edge of a cliff and throws...Ch. 4 - Prob. 30PCh. 4 - A boy stands on a diving board and tosses a stone...Ch. 4 - A home run is hit in such a way that the baseball...Ch. 4 - The athlete shown in Figure P4.21 rotates a...Ch. 4 - In Example 4.6, we found the centripetal...Ch. 4 - Prob. 35PCh. 4 - A tire 0.500 m in radius rotates at a constant...Ch. 4 - Review. The 20-g centrifuge at NASAs Ames Research...Ch. 4 - An athlete swings a ball, connected to the end of...Ch. 4 - The astronaut orbiting the Earth in Figure P4.19...Ch. 4 - Figure P4.40 represents the total acceleration of...Ch. 4 - Prob. 41PCh. 4 - A ball swings counterclockwise in a vertical...Ch. 4 - (a) Can a particle moving with instantaneous speed...Ch. 4 - The pilot of an airplane notes that the compass...Ch. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - A police car traveling at 95.0 km/h is traveling...Ch. 4 - A car travels due east with a speed of 50.0 km/h....Ch. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - A river flows with a steady speed v. A student...Ch. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - A farm truck moves due east with a constant...Ch. 4 - A ball on the end of a string is whirled around in...Ch. 4 - Prob. 56APCh. 4 - Prob. 57APCh. 4 - A particle starts from the origin with velocity...Ch. 4 - Prob. 59APCh. 4 - Prob. 60APCh. 4 - Lisa in her Lamborghini accelerates at...Ch. 4 - A boy throws a stone horizontally from the top of...Ch. 4 - Prob. 63APCh. 4 - Prob. 64APCh. 4 - Prob. 65APCh. 4 - Prob. 66APCh. 4 - Why is the following situation impossible? Albert...Ch. 4 - As some molten metal splashes, one droplet flies...Ch. 4 - Prob. 69APCh. 4 - A pendulum with a cord of length r = 1.00 m swings...Ch. 4 - Prob. 71APCh. 4 - A projectile is launched from the point (x = 0, y...Ch. 4 - A spring cannon is located at the edge of a table...Ch. 4 - An outfielder throws a baseball to his catcher in...Ch. 4 - A World War II bomber flies horizontally over...Ch. 4 - Prob. 76APCh. 4 - Prob. 77APCh. 4 - Prob. 78APCh. 4 - A fisherman sets out upstream on a river. His...Ch. 4 - Prob. 80APCh. 4 - A skier leaves the ramp of a ski jump with a...Ch. 4 - Two swimmers, Chris and Sarah, start together at...Ch. 4 - Prob. 83CPCh. 4 - Prob. 84CPCh. 4 - Prob. 85CPCh. 4 - A projectile is fired up an incline (incline angle...Ch. 4 - A fireworks rocket explodes at height h, the peak...Ch. 4 - In the What If? section of Example 4.5, it was...Ch. 4 - Prob. 89CP
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- 2, A particle moving along a straight line decelerates according to a = -kv, where k is a constant and v is velocity. If it's initial velocity at time t = 0 is vo=4m/s and its velocity at time t = 2s is v = 1m/s, determine the time t and corresponding distance s for the particle speed to be reduced to one tenth of its initial valuearrow_forwardAn object is located initially at an origin. It has acceleration 3.00 m/s2, 90° and velocity 5.00 m/s, 0°. Determine the position (x, y) and the velocity (magnitude and direction) for times 1.00 s, 2.00 s and 3.00 s. Graph the position on an x-y coordinate plane for these times. Include the velocities and acceleration.arrow_forwardchapter 4.3 5) The position of a particle moving along the y axis, starting from the origin at t = 0, varies in time according to y = 4t 3 + 8, where " y " is in meters and "t" is in seconds. Find: 1. the position of the particle at t=2 s.2. the instantaneous velocity of the particle at t=1 s.3. the instantaneous acceleration of the particle at t=3 s.arrow_forward
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