Motion in a Pla...

A balloon is at a height of 81m and is ascending upwards with a velocity of 12 m/s. A body of 2 kg weight is dropped from it. If g = 10m/s², the body will reach the surface of the earth in

The position of a particle moving in the xy-plane at any time t is given by x = (3t² – 6t) metres, y = (t² – 2t) metres. Select the correct statement about the moving particle from the following.

In 1.0s, a particle goes from point Ato point B, moving in a semicircle ofradius 1.0m Fig The magnitude ofaverage velocity is

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

The displacement of a particle is represented by the following equation: s = 3t³ + 7t² + 5t + 8 where s is in metre and t in second.The acceleration of the particle at t =1 second is

A particle under the action of a constant force moves from rest upto20 seconds. If distance covered in first 10 seconds is S₁ and that covered in next 10 seconds is S₂,then

If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is

A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds.What should be the speed of the throw so that more than two balls are in the sky at any time ? (Given g= 9.8 m/s²)

A car moving with a speed of 50km/h, can be stopped by brakes after at least 6m. If the same car is moving at a speed of 100 km/h, the minimum stopping distance is

A particle starts sliding down a frictionless inclined plane. If S_n is the distance travelled by it from time t = (n – 1) sec to t = n second, the ratio S_n/S_n+1 is