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A body is projected vertically upward di...

A body is projected vertically upward direction from the surface of earth. If upward direction is taken as positive, then acceleration of body during its upward and downward journey are respectively

A

Positive, negative

B

Negative, negative

C

Positive, positive

D

Negative, positive

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the motion of a body projected vertically upward from the surface of the Earth. We will determine the acceleration of the body during both its upward and downward journeys. ### Step-by-Step Solution: 1. **Understanding the Direction of Motion**: - The body is projected upward, which we are taking as the positive direction. Thus, during the upward journey, the velocity of the body is positive. 2. **Identifying the Acceleration During Upward Motion**: - While the body is moving upward, it is subject to the force of gravity acting downward. This gravitational force causes a deceleration (negative acceleration) as the body moves against gravity. - Therefore, the acceleration during the upward journey is negative. 3. **Identifying the Acceleration During Downward Motion**: - After reaching its maximum height, the body will start descending. During this downward journey, the body is again influenced by gravity, which acts downward. - Since we have taken upward as positive, the acceleration due to gravity remains directed downward, which is also negative. - Thus, the acceleration during the downward journey is also negative. 4. **Conclusion**: - The acceleration of the body during its upward journey is negative, and the acceleration during its downward journey is also negative. - Therefore, the correct answer is: **Negative (upward journey) and Negative (downward journey)**. ### Final Answer: The acceleration of the body during its upward and downward journey are respectively: **Negative, Negative**. ---
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