Question

Assertion :The horizontal displacement of a projectile varies linearly with time. Reason: Projectile motion is uniform motion along horizontal and accelerated motion along vertical.

• A. Both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
• B. Both Assertion and Reason are true, but Reason is not correct explanation of the Assertion.
• C. Assertion is true, but the Reason is false.
• D. Assertion is false, but the Reason is true.

Answer 1

The correct option is A Both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

In projectile the velocity components are $v_h=u\cos \theta$ and $v_y=u\sin \theta$ and acceleration components are $a_h=0$and $a_y=-g$. Hence horizontal displacement varies linearly with time, i.e horizontal velocity remains constant.

Reason is correct explanation of the assertion.