Physics · Uniformly accelerated motion, velocity-time, position-time graph, relations for uniformly accelerated motion, relative velocity
Assertion Two balls of different masses are thrown vertically upward with same s
Assertion Two balls of different masses are thrown vertically upward with same speed. They will pass through their point of projection in the downward direction with the same speed. Reason The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball.
- A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
- B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
- C. Assertion is correct but Reason is incorrect
- D. Both Assertion and Reason are incorrect
Step-by-step solution
The assertion follows from the fact that under gravity (ignoring air resistance), the motion is symmetric: speed at any height on the way down equals the speed at that height on the way up, due to conservation of mechanical energy. The maximum height and the speed at the point of projection depend only on initial speed and acceleration due to gravity, not on mass. Thus both statements are true, and the reason correctly explains the assertion.
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