A particle located at x = 0 at time t = 0 starts moving along positive x-direction with velocity v that varies as `v = asqrtx`. Show that `x prop t^2` .

A stationary particle explodes into two particle of masses m1 and m2 and move in opposite directions with velocities v1 and v2.The ratio of their K.E is

A particle moves along a curve 6y = x^3+2 . Find the points on the curve at which the y condinate is changing 8 times as fast as the x cordinate.

A particle starts from the origin at f = 0 s with a velocity of 10.0 hatj m//s and moves in the x-y plane with a constant acceleration of (8.0 hat + 2.0 hatj) m s^-2 .

A particle describes a distance x m in t sec, given by x = 4+5t+63t^3 . Find the velocity of the particle at the end of 2 secs and the acceleration at the end of 3 secs

In the above diagram, a particle of mass"m" and charge(-q) initially moving along X-axis with velocity "v". The length of the plave system is "L" and uniform electric filed between the plates is "E". What is the vertical deflext of the particle at the far edge of the plate?

The displacement ( in meter ) of a particle moving along x-axis is given by x = 18t+ 5t^2 . Calculate instantaneous velocity at t = 2s

The displacement ( in meter ) of a particle moving along x-axis is given by x =18t+ 5t^2 . Calculate average velocity between t = 2s and t = 3s .

The position of particle is given by vecr=3.0thati-2.0t^2hatj+4.0hatk . Find the magnitude and direction of velocity of the particle at t=1.0s.

The motion of a particle along x-axis is given by equation x = 9+ 5t^2 , where x is the distance in cm and t is time in second. Find instantaneous velocity after 3 seconds