Kinematics Questions

A stone falls freely under gravity. It covers distances h1, h2 and h3 in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h1, h2 and h3 is :-...

From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground, is n times that taken by it to reach the highest point of its path....

The velocity of a particle is v = v0 + gt + ft2. If its position is x = 0 at t = 0, then its displacement after unit time (t = 1) is

A particle is moving such that its position coordinates (x, y) are (2m, 3m) at time t = 0, (6m, 7m) at time t = 2 s and (13m, 14m) at time t = 5 s Average velocity vector from t = 0 to t = 5 s is...

Initially car A is 10.5 m ahead of car B. Both start moving at time t = 0 in the same direction along a straight line . The velocity time graph of two cars is shown in figure. the time when car B will...

A man starts tuning along a straight with uniform velocity feels that the rain is falling vertically down along ĵ . If he doubles his finds that the rain is coming at an angle θ to the tidal...

When an α-particle of mass ‘m’ moving with velocity ‘v’ bombards on a heavy nucleus of charge ‘Ze’, itsdistance of closest approach from the nucleus depends o...

A small sphere of radius 'r' falls from rest in a viscous liquid. As a result, heat is produced due to viscous force. The rate of production of heat when the sphere attains its terminal veloci...

A particle of mass m is at rest at the origin at time t = 0. It is subjected to a force F(t) = F0e-bt in the x direction. Its speed v(t) is depicted by which of the following curves ?...

The motion of a particle along a straight line is described by equation:x = 8 + 12t - t3 where x is in metre and t in second. The retardation of the particle when itsvelocity becomes zero, is...

A particle covers half of its toatl distance with speed v1 and the rest half distance withspeed v2 . Its average speed of the complete journery is

A body standing at the loop of a tower of 20 m height drops a stone . Assuming g = 10 ms-2, the velocity which it hits ground is

An object, moving with a speed of 6.25 m/s, is decelerated at a rate given by : = - 2.5 √v where v is the instantaneous speed. The time taken by the object, to come to rest, would be :...

A particle has an initial velocity and an acceleration of . Its speed after 10 s is...

A body is at rest at x = 0. At t = 0, it starts moving in the positive x-direction with a constant acceleration. At the same instant another body passes through x = 0 moving in the positive xdirection...

A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity ′v′ that varies as v = α√x. The displacement of the particle varies with ...

The relation between time t and distance x is t = ax2 + bx where a and b are constants.The acceleration is

A car starting from rest accelerates at the rate f through a distance S, then continues at constant speed for time t and then decelerates at the rate f/2 to come to rest. If the total distance travers...

A particle is moving eastwards with a velocity of 5 m/s in 10 seconds the velocity changes to 5 m/s northwards. The average acceleration in this time is

A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at 2 m/s2. He reaches the ground with a speed of 3 m/s. At what height, did he bail out?...