Q. The displacement $x$ of a particle at the instant when its velocity $v$ is given by $v = \sqrt{3x + 16}.$ Its acceleration and initial velocity are

A) 1.5 units, 4 units
B) 3 units, 4 units
C) 16 units, 1.6 units
D) 16 units, 3 units
Explanation

(a) $v = \sqrt{3x + 16}$ or $v^{2} = 3x + 16$ or $v^{2} - 16 = 3x$
Comparing with $v^{2} - u^{2} = 2aS,$ we get, $u = 4$ units , $2a = 3$
or $a = 1.5$ units.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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