Q. The motion of a particle is described by the equation $x = a + bt^{2}$ where $a = 15\ cm$ and $b = 3\ cm/s^{2}$.Its instantaneous velocity at time $3\ sec$ will be

A) $36\ cm/sec$
B) $18\ cm/sec$
C) $16\ cm/sec$
D) $32\ cm/sec$
Explanation

(b) $x = a + bt^{2},\ v = \frac{dx}{dt} = 2bt$
Instantaneous velocity $v = 2 \times 3 \times 3 = 18\ cm/sec$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.