Motion In One D...

An insect moving along a straight line, travels in even seconds distance equal to the magnitude of time elapse. Assuming acceleration to be constant, and the insect standard at t=0. Find the magnitude of initial velocity of insect :

Two bikes A and B start from a point. A moves with uniform speed 40m/s and B starts from rest with uniform acceleration 2m/s² . If B starts at t=10 and A starts from the same point at t=10s, then the time during the journey in which A was ahead of B is

Three forces start acting simultaneously on a particle moving with velocity  . These forces are represented in magnitude and direction by the three sides of a triangle ABC(as shown). The particle will now move with velocity

A body starts from rest with an uniform acceleration. If its velocity after n seconds is v, then its displacement in the last 2s is

A particle is moving in a straight line. and passes through a point o with a velocity of 6 ms^-1.The particle moves with a constant retardation of 2ms^-2 for 4 s and there after moves with constant velocity. How long after leaving O does the particle return to O?

A projectile is fired vertically upwards with an initial velocity u. After an interval of T seconds, a second projectile is fired vertically upwards, also with initial velocity u.

A ball is dropped vertically from a height d above the ground it hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistances, its velocity v varies with the height h above the ground as

Two trains, which are moving along different tracks in opposite directions, are put on the same track due to a mistake. Their drivers, on noticing the mistake, start slowing down the trains when the trains are 300 m apart. Graphs given in figure show their velocities as function of time as the trains slow down. The separation between the trains when both have stopped is

A drunkard is walking along a straight road. He takes five steps forward and three steps backward and so on. Each step is 1 m long and takes 1 s. There is a pit on the road 11 m away from the starting point. The drunkard will fall into the pit after

A ball is thrown from the top of a tower in vertically upward direction. The velocity at a point h meter below the point of projection is twice of the velocity at a point h meter above the point of projection. Find the maximum height reached by the ball above the top of tower.