Question

Assertion :For a body projected horizontally from the top of a tower, the velocity on reaching the ground depends both on velocity of projection and height of the tower. Reason: For a projectile velocity varies both in horizontal and vertical directions.

• A. Both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
• B. Assertion and the Reason both are false.
• C. Assertion is true but the Reason is false
• D. Assertion is false but the Reason is true.

Answer 1

The correct option is C Assertion is true but the Reason is false

Horizontal velocity, $v_x=v$ will be constant
Hence, reason is false.
From A to B:
While vertical velocity $v_y^2=0^2+2aH$

Hence, $v_y=\sqrt{2gH}$
The velocity on reaching the ground would have two components $v_x$ which remains constant throughout the motion and $v_y$ which depends upon height.

Thus assertion is correct.