A body is in rectilinear motion with a acceleration given by a=2v3/2 If the particle starts its motion fro - Physics - Kinematics

Question

A body is in rectilinear motion with a acceleration given by
a=2v​3/2 If the particle starts its motion fro
origin with velocity of 4m/s, the position x of the particle at an
instant terms of v can be given as

Shobhit Mittal · Accepted Answer

Dear Student,

a=2v32vdvdx=2v32dx=vdv2v32∫0xdx=∫4vdv2vx=v4vx=v-2Regards

A body is in rectilinear motion with a acceleration given by a=2v​3/2. If the particle starts its motion fro origin with velocity of 4m/s, the position x of the particle at an instant terms of v can be given as

A body is in rectilinear motion with a acceleration given by a=2v^3/2. If the particle starts its motion fro origin with velocity of 4m/s, the position x of the particle at an instant terms of v can be given as