Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 4, Problem 4.3CQ
If you know the position vectors of a particle at two points along its path and also know the time interval during which it moved from one point to the other, can you determine the particle’s instantaneous velocity? Its average velocity? Explain.
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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.
2. A particle is traveling on the path r2(t), with acceleration vector (6t, e', 0). Initially at
t = 0, the particle is at the origin, with initial speed 4. Its initial velocity is in the positive
direction of (1,0, –1) (i.e. it is a positive scalar multiple of this vector).
(a) What is the initial velocity of the particle?
(b) Find r2(t).
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
Chapter 4 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 4 - Consider the following controls in an automobile...Ch. 4 - (i) As a projectile thrown at an upward angle...Ch. 4 - Rank the launch angles for the five paths in...Ch. 4 - A particle moves in a circular path of radius r...Ch. 4 - A particle moves along a path, and its speed...Ch. 4 - Figure OQ4.1 shows a bird's-eye view of a car...Ch. 4 - Entering his dorm room, a student tosses his book...Ch. 4 - A student throws a heavy red ball horizontally...Ch. 4 - A projectile is launched on the Earth with a...Ch. 4 - Does a car moving around a circular track with...
Ch. 4 - An astronaut hits a golf ball on the Moon. 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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 - Section 4.5 Tangential and Radial Acceleration...Ch. 4 - A train slows down as it rounds a sharp horizontal...Ch. 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 - An airplane maintains a speed of 630 km/h relative...Ch. 4 - A moving beltway at an airport has a speed 1 and a...Ch. 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 - A bolt drops from the ceiling of a moving train...Ch. 4 - A river has a steady speed of 0.500 m/s. A student...Ch. 4 - A river flows with a steady speed v. A student...Ch. 4 - A Coast Guard cutter detects an unidentified ship...Ch. 4 - A science student is riding on a flatcar of a...Ch. 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 - A ball is thrown with an initial speed i at an...Ch. 4 - Why is the following situation impassible? A...Ch. 4 - A particle starts from the origin with velocity...Ch. 4 - The Vomit Comet. In microgravity astronaut...Ch. 4 - A basketball player is standing on the floor 10.0...Ch. 4 - Lisa in her Lamborghini accelerates at...Ch. 4 - A boy throws a stone horizontally from the top of...Ch. 4 - A flea is at point on a horizontal turntable,...Ch. 4 - Towns A and B in Figure P4.64 are 80.0 km apart. A...Ch. 4 - A catapult launches a rocket at an angle of 53.0...Ch. 4 - A cannon with a muzzle speed of 1 000 m/s is used...Ch. 4 - Why is the following situation impossible? Albert...Ch. 4 - As some molten metal splashes, one droplet flies...Ch. 4 - An astronaut on the surface of the Moon fires a...Ch. 4 - A pendulum with a cord of length r = 1.00 m swings...Ch. 4 - A hawk is flying horizontally at 10.0 m/s in a...Ch. 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 - A truck loaded with cannonball watermelons stops...Ch. 4 - A car is parked on a steep incline, making an...Ch. 4 - An aging coyote cannot run fast enough to catch a...Ch. 4 - A fisherman sets out upstream on a river. His...Ch. 4 - Do not hurt yourself; do not strike your hand...Ch. 4 - A skier leaves the ramp of a ski jump with a...Ch. 4 - Two swimmers, Chris and Sarah, start together at...Ch. 4 - The water in a river flows uniformly at a constant...Ch. 4 - A person standing at the top of a hemispherical...Ch. 4 - A dive-bomber has a velocity or 280 m/s at ail...Ch. 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 - An enemy ship is on the east side of a mountain...
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