For motion of an object along x-axis, the velocity v depends on the displacement x as v = 3x2 – 2x. What is the acceleration at x = 2m.
A particle moves from A to B. The ratio of distance to displacement is
Person is going 40 m, north, then 30 m east and then 30 m southwest. The net displacement will be
A particle is moving along the path y = 4x2. The distance and displacement from x = 1 to x = 2 is (nearly)
A particle moves according to the equation x = t2 + 3t + 4. The average velocity in the first 5 s is
The resistive force suffered by a motor boat is αV2 where V is instantaneous velocity. The engine was shut down when the velocity of the boat was V0. Find the average velocity at any time t.
A body throws a ball to his friend 20 m away. The ball reaches to the friend in 4s. The friend then throws the ball back to boy and it reaches the boy in 5s. assume the ball travels with constant velocity during any throw.
A stone is dropped from a certain road. He takes 5 steps forward and 3 steps backward and so on. Each step is 1 m long and takes 1s. There is a pit on the road 11 m away from the starting point. The drunkard will fall into the pit after
A body sliding on a smooth inclined plane requires 5 s to reach the bottom, starting from rest at the top. How much time does it take to cover one fourth the distance starting from rest at the top?
Two trains, one travelling at 15 ms-1 and other at 20 ms-1, are heading towards one another along a straight track. Both the drivers apply brakes simultaneously when they are 500 m apart. If each train has a retardation of 1ms-1, the separation after they stop is