Evaluate the following Assertion (A) and Reason (R) and choose the correct option.

Physics · Kinematics Part-1 (one dimension) · Instantaneous speed and instantaneous velocity

Evaluate the following Assertion (A) and Reason (R) and choose the correct option.

Assertion

Assertion (A): For x(t) = 4t³ - 3t, t ≥ 0, the particle initially moves in the negative x-direction, comes momentarily to rest, and then reverses its direction.

Reason

Reason (R): Its velocity is v = dx/dt = 12t² - 3, which changes sign from negative to positive at t = 1/2 s.

Options