A particle has velocity at and is decelerated at the rate

PHYSICS · Multi correct · ISC · Physics · Kinematics · Kinematics

Problem

A particle has velocity

v=v_0

t=0

and is decelerated at the rate

|a|=\alpha\sqrt{v}

, where

\alpha

is a positive constant. (1) The particle comes to rest at

t=\frac{2\sqrt{v_0}}{\alpha}

. (2) The particle will come to rest at infinity. (3) The distance travelled by the particle before coming to rest is

\frac{2v_0^{3/2}}{\alpha}

. (4) The distance travelled by the particle before coming to rest is

\frac{2v_0^{3/2}}{3\alpha}