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If a particle travels n equal distance with speeds v1, v2,......... vn, then the average speed  fo the particle will be


The deceleration experienced by a moving motor boat, after its engine is cut-off is given by dv/dt = – k v3, where k is constant. If v0 is the magnitude of the velocity at cut-off, the magnitude of the velocity at a time t after the cut-off is


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 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?