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Chapter 1: Problem 25

If a ball is thrown straight up into the air, what is its acceleration as it moves upward? What is its acceleration when it reaches its highest point and is stopped at an instant?

Short Answer

Expert verified
Answer: The acceleration of the ball when it moves upward and when it reaches its highest point is -9.81 m/s².

Step by step solution

01

Identify the relevant property of freely falling objects

In this problem, we need to consider the effect of gravity on the ball. The acceleration due to gravity (g) is a constant value that always acts downward. Its value is approximately 9.81 m/s². This acceleration is acting on the ball throughout its motion.
02

Determine the acceleration as the ball moves upward

As the ball is moving upward, the acceleration due to gravity is still acting on it. Even though the ball is going against gravity, the acceleration due to gravity remains constant and acts downward. Therefore, the acceleration of the ball as it moves upward is -9.81 m/s² (negative indicates opposite direction of motion).
03

Determine the acceleration when the ball reaches its highest point

When the ball reaches its highest point, it comes to a stop momentarily before falling back down. However, the acceleration due to gravity is still acting on it during this instant; The ball is still under the influence of gravity. Thus, the acceleration of the ball at its highest point is also -9.81 m/s². In conclusion, the acceleration of the ball when it moves upward is constant and equal to -9.81 m/s², and it remains the same value even when the ball reaches its highest point and stops for an instant.

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