A particle is projected in gravity with a speed `v_0`. Using W-E theorem, find the speed of the particle as the function of vertical distance y.

A particle is projected vertically upwards in vacuum with a speed u .

A particle is projected vertically upwards in vacuum with a speed u .

A particle moves in the x-y plane according to the law x=t^(2) , y = 2t. Find: (a) velocity and acceleration of the particle as a function of time, (b) the speed and rate of change of speed of the particle as a function of time, (c) the distance travelled by the particle as a function of time. (d) the radius of curvature of the particle as a function of time.

Two particles A and B are projected simultaneously from a fixed point of the ground. Particle A is projected on a smooth horizontal surface with speed v, while particle B is projected in air with speed v, while particle B is projected in air with speed (2v)/(sqrt(3)) . If particle B hits the particle A, the angle of projection of B with the vertical is

Two particles A and B are projected simultaneously from a fixed point of the ground. Particle A is projected on a smooth horizontal surface with speed v, while particle B is projected in air with speed v, while particle B is projected in air with speed (2v)/(sqrt(3)) . If particle B hits the particle A, the angle of projection of B with the vertical is

A particle is projected with a speed v_(0) = sqrt(gR) . The coefficient of friction the particle and the hemi- spherical plane is mu = 0.5 Then , the acceleration of the partical is

A particle is projected with a speed v_(0) = sqrt(gR) . The coefficient of friction the particle and the hemi- spherical plane is mu = 0.5 Then , the acceleration of the partical is

A particle is projected horizontally with speed u from point A, which is 10 above the ground . If the particle hits the inclined perpendicularly at point B. [ g = 10 m//s^(2)] Find horizontal speed with which the particle was projected

A particle is given velocity v_0 at point A as shown in the figure. Find the speed of particle at point B,C and D