BuyFind

College Physics

11th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305952300
BuyFind

College Physics

11th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305952300

Solutions

Chapter 3, Problem 1CQ
Textbook Problem

As a projectile moves in its path, is there any point along the path where the velocity and acceleration vectors are (a) perpendicular to each other? (b) Parallel to each other?

Expert Solution

(a)

To determine
If there is any point in a projectile path where the velocity and acceleration vectors are perpendicular to each other.

Answer to Problem 1CQ

Yes, at the peak of the path, the velocity and acceleration vectors are perpendicular to each other.

Explanation of Solution

The direction of velocity along the path of a projectile is always tangential to the path. The acceleration in a projectile motion is always directed downwards.

Conclusion:

At the peak of the path, the velocity is horizontal, and the acceleration is vertical. Thus, at the peak of the path, the velocity vector is perpendicular to the acceleration vector.

Expert Solution

(b)

To determine
If there is any point in a projectile path where the velocity and acceleration vectors are parallel to each other.

Answer to Problem 1CQ

No, the velocity and acceleration vectors are can never be parallel to each other.

Explanation of Solution

There are two components of the velocity: one is horizontal, and one is vertical. The horizontal component of the velocity always has the same value all over the motion.

Conclusion:

The horizontal velocity remains equal to the initial velocity throughout the motion. For the velocity vector and the acceleration vector to be parallel, the horizontal component of the velocity must he zero, which is not possible.

Thus, the velocity and acceleration can never be parallel in the path of a projectile.

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Chapter 3 Solutions

College Physics
Ch. 3 - Determine which of the following moving objects...Ch. 3 - Two projectiles are thrown with the same initial...Ch. 3 - A ball is thrown upward in the air by a passenger...Ch. 3 - A projectile is launched at some angle to the...Ch. 3 - A baseball is thrown from the outfield toward the...Ch. 3 - A student throws a heavy red ball horizontally...Ch. 3 - A boat is heading due east at speed v when...Ch. 3 - As an apple tree is transported by a truck moving...Ch. 3 - An airplane in a holding pattern flies at constant...Ch. 3 - A hiker walks 2.00 km north and then 3.00 km east,...Ch. 3 - A miniature quadcopter is located at xi = 2.00 m...Ch. 3 - An ant crawls on the floor along the curved path...Ch. 3 - Explain whether the following particles do or do...Ch. 3 - A rabbit is moving in the positive x-direction at...Ch. 3 - A student stands at the edge of a cliff and throws...Ch. 3 - One of the fastest recorded pitches in major...Ch. 3 - The best leaper in the animal kingdom is the puma,...Ch. 3 - A rock is thrown upward from the level ground in...Ch. 3 - A placekicker must kick a football from a point...Ch. 3 - The record distance in the sport of throwing...Ch. 3 - A brick is thrown upward from the top of a...Ch. 3 - From the window of a building, a ball is tossed...Ch. 3 - A car is parked on a cliff overlooking the ocean...Ch. 3 - An artillery shell is fired with an initial...Ch. 3 - A projectile is launched with an initial speed of...Ch. 3 - A fireman d = 50.0 m away from a burning building...Ch. 3 - A playground is on the flat roof of a city school,...Ch. 3 - A cruise ship sails due north at 4.50 m/s while a...Ch. 3 - Suppose a boat moves at 12.0 m/s relative to the...Ch. 3 - A car travels due east with a speed of 50.0 km/h....Ch. 3 - A jet airliner moving initially at 3.00 102 mi/h...Ch. 3 - A Coast Guard cutter detects an unidentified ship...Ch. 3 - A bolt drops from the ceiling of a moving train...Ch. 3 - An airplane maintains a speed of 630 km/h relative...Ch. 3 - Suppose a chinook salmon needs to jump a waterfall...Ch. 3 - An airplane maintains a speed of 630 km/h relative...Ch. 3 - A river has a steady speed of 0.500 m/s. A student...Ch. 3 - This is a symbolic version of Problem 29. A river...Ch. 3 - How long does it take ail automobile traveling in...Ch. 3 - A moving walkway at an airport has a speed v1 and...Ch. 3 - A boy throws a baseball onto a roof and it rolls...Ch. 3 - You can use any coordinate system you like to...Ch. 3 - Towns A and B in Figure P3.35 are 80.0 km apart. A...Ch. 3 - In a local diner, a customer slides an empty...Ch. 3 - A father demonstrates projectile motion to his...Ch. 3 - Two canoeists in identical canoes exert the same...Ch. 3 - A rocket is launched at an angle of 53.0 above the...Ch. 3 - A farm truck travels due east with a constant...Ch. 3 - (a) If a person can jump a maximum horizontal...Ch. 3 - A ball is thrown straight upward and returns to...Ch. 3 - A home run is hit in such a way that the baseball...Ch. 3 - A 2.00-m-tall basketball player is standing on the...Ch. 3 - A quarterback throws a football toward a receiver...Ch. 3 - The x- and y-coordinates of a projectile launched...Ch. 3 - Spitting cobras can defend themselves by squeezing...Ch. 3 - When baseball outfielders throw the ball, they...Ch. 3 - A hunter wishes to cross a river that is 1.5 km...Ch. 3 - Chinook salmon are able to move upstream faster by...Ch. 3 - A daredevil is shot out of a cannon at 45.0 to the...Ch. 3 - If raindrops are falling vertically at 7.50 m/s,...Ch. 3 - A celebrated Mark Twain story has motivated...Ch. 3 - A landscape architect is planning an artificial...Ch. 3 - A golf ball with an initial speed of 50.0 m/s...Ch. 3 - Antlion larvae lie in wait for prey at the bottom...Ch. 3 - One strategy in a snowball fight is to throw a...Ch. 3 - A football receiver running straight downfield at...Ch. 3 - The determined Wile E. Coyote is out once more to...

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