Motion in a Str...

The displacement y (in metres) of a body varies with time t (in seconds) as . How long does the body take to come to rest?

The distance x covered by a body moving in a straight line in time t is given by:

x² = t² + 2t + 3

The acceleration of the body will vary as

The acceleration of a particle starting from rest varies with time according to the relation a = kt + c, where k and c are constants of motion.

The velocity v of the particle after a time t will be

The acceleration a (in ms^-2) of a body starting from rest varies with time t (in s) according to the relation:

a = 3t + 4

The velocity of the body at time t = 2 s will be

for motion in a straight line

The displacement of a body from a reference point is given by:

, where x is in metres and t is in seconds.

What is the initial velocity of the body?

The position of an object moving in a straight line can be specified with reference to

A body moving in a straight line with constant acceleration of 10 ms^-2 covers a distance of 40 m in the 4^th second. How much distance will it cover in the 6^th second?

At t = 0, an arrow is fired vertically upwards with a speed of 98 ms^-1. A second arrow is fired vertically upwards with the same speed at t = 5 s. Then,

The displacement of a body from a reference point is given by , where x is in metres and t is in seconds. This shows that the body is

A body, starting from rest and moving with a constant acceleration, covers a distance s₁ in the 4^th second and a distance s₂ in the 6^th second. The ratio s₁/s₂ is

A car is moving at a certain speed. The minimum distance over which it can be stopped is x. If the speed of the car is doubled, what will be the minimum distance over which the car can be stopped during the same time?

Displacement (x) of a particle is related to time (t) as

x = at + bt² – ct³, where a, b and c are constants of motion.

The velocity of the particle, when its acceleration is zero, is given by

In Kinematics we study

A ball falling from a tower of height 'h' covers a distance h/2 in the last second of its motion. What is the height of the tower? (Take g = 10 ms^–2) 

A body moving in a straight line with an initial velocity of 5 ms^–1 and a constant acceleration covers a distance of 30 m in the 3^rd second. How much distance will it cover in the next 2 seconds?

A car starting from rest is accelerated at a constant rate until it attains a speed v. It is then retarded at a constant rate until it comes to rest. The average speed of the car for its entire journey is

The driver of a train A moving at the speed of 30 ms^–1 sights another train B moving on the same track towards his train at the speed of 10 ms^–1. He immediately applies brakes and achieves a uniform retardation of 4 ms^–2. To avoid head-on collision, what must be the minimum distance between the trains?

Path length is defined as.

Path length is a