Chapter 3 – Motion in One Dimension

A particle moving along a straight line with a constant acceleration of −4m/s^2 passes through a point A on the line with a velocity of +8m/s at some moment. Find the distance travelled by the particle in 5 seconds after that moment. A block is moving down a smooth inclined plane staring from rest at [...]

The two ends of a train moving with constant acceleration pass a certain point with velocities u and v. The velocity with which the middle point of the train passes the same point is The two ends of a train moving with constant acceleration pass a certain point with velocities u and v. The velocity [...]

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

A particle starts from rest with uniform acceleration a. Its velocity after n second is v. The displacement of the body in the last two second is A particle starts from rest with uniform acceleration a. Its velocity after n second is v. The displacement of the body in the last two second is September [...]

A block is moving down a smooth inclined plane staring from rest at time t=0 let Sn​ be the distance travel by the block in the interval t = n – 1 to t = n. The ratio Sn+1​Sn​​ is A block is moving down a smooth inclined plane staring from rest at time t=0 [...]

From an elevated point P a stone is projected vertically upward. When it reaches a distance y below the point of projection its velocity is double the velocity when it was at a height y above P. The greatest height reached by it above P is A body starts from rest and moves with constant [...]

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 resistance, its velocity v varies with height h above the ground as A ball is dropped vertically from a height d above the ground. It hits [...]

By what velocity a ball be projected vertically upward so that the distance covered by it in 5th second is twice the distance it covers in its 6th second By what velocity a ball be projected vertically upward so that the distance covered by it in 5th second is twice the distance it covers in [...]

A particle moves with constant acceleration along a straight line starting from rest. The percentage increase in its displacement during the 4th second compared to that in the 3rd second is: A particle moves with constant acceleration along a straight line starting from rest. The percentage increase in its displacement during the 4th second compared [...]

A body starts from rest and moves with constant acceleration for t s. It travels a distance x1 in first half of time and x2 in next half of time, then A body starts from rest and moves with constant acceleration for t s. It travels a distance x1 in first half of time and [...]