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Chapter 3: Problem 13

In ideal projectile motion, when the positive \(y\) -axis is chosen to be vertically upward, the \(y\) -component of the velocity of the object during the ascending part of the motion and the \(y\) -component of the velocity during the descending part of the motion are, respectively, a) positive, negative. c) positive, positive. b) negative, positive. d) negative, negative.

Short Answer

Expert verified
Answer: The y-components of the velocity during the ascending and descending parts of an object in ideal projectile motion are positive and negative, respectively. This is because the object is moving upward against the force of gravity during the ascending part, and downward due to the force of gravity during the descending part.

Step by step solution

01

Analyze the ascending part of the motion

During the ascending part, the object is moving upward against the force of gravity. As a result, the y-component of the velocity is decreasing, but the object is still moving upward, so the velocity is positive.
02

Analyze the descending part of the motion

During the descending part, the object is moving downward due to the force of gravity. Hence, the y-component of the velocity is increasing in the downward direction, meaning it is negative.
03

Identify the correct option

Based on the analysis above, the y-component of the velocity during ascending is positive, and during descending, it is negative. Therefore, the correct option is: a) positive, negative.

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