Motion in a Str...

Average speed is defined as the total path length travelled divided by the total time interval during which

A body moving with some initial velocity and having uniform acceleration attains a final velocity 'V' m/s after travelling 'x' m. If its final velocity is V = , find the acceleration of the body.

A car moving at a speed v is stopped after a certain distance when the brakes produce a deceleration a. If the speed of the car is nv, what must be the deceleration of the car to stop it in the same distance and in the same time?

An automobile travelling with a speed of 60 km/hr can stop within a distance of 20 m. If a car travels twice as fast, i.e. 120 km/hr, then the automobile will stop within a distance of

A metro train starts from rest and in 5 s, attains a speed of 108 km/hr. After that, it moves with a constant velocity and comes to rest after travelling 45 metres with uniform retardation. If the total distance travelled is 395 metres, find the total time of travelling.

Displacement is a

A bullet is fired into a fixed wooden block and it loses half of its velocity after penetrating 40 cm. It comes to rest after penetrating a further distance of

For motion in 3 dimensions we need

If a ball is thrown horizontally with a velocity of 8 m/s from the top of a building, the ball falls on the ground 12 m away from the building. What is the height of the building?

A student is standing at a distance of 50 metres from a bus. As soon as the bus begins its motion with an acceleration of 1 ms^-2, the student starts running towards the bus with a uniform velocity 'u'. Assuming the motion to be along a straight road, calculate the minimum value of 'u' so that the student is able to catch the bus.

The displacement of a particle is given by . What is its acceleration?
(Given: a₀, a₁ and a₂ are all positive.)

Three particles 'A', 'B' and 'C' are thrown from the top of a tower with the same speed. 'A' is thrown up, 'B' is thrown down and 'C' is thrown horizontally. If they hit the ground respectively with speeds 'V_A', 'V_B', and 'V_C', then

A balloon is rising vertically upwards with a velocity of 29 ms^-1. A stone is dropped from it, which reaches the ground in 10 seconds. The height of the balloon when the stone was dropped from it is (g = 9.8 ms^-1)

When an object moves an equal distance in equal intervals of time, its motion is said to be

Average velocity is defined as

A person travels along a straight road for the first half time with a velocity v₁ and for the second half time with a velocity v₂. The mean velocity 'V' is given by

A particle experiences constant acceleration for 20 s after starting from rest. If it travels a distance s₁ in the first 10 seconds and distance s₂ in the next 10 seconds, then

A particle experiences constant acceleration for 6 seconds after starting from rest. It travels a distance S₁ in the first 2 seconds, a distance S₂ in the next 2 seconds and a distance S₃ in the last 2 seconds. Then, S₁ : S₂ : S₃ will be equal to

A 175 m long train is travelling along a straight track with a velocity of 72 km/h. A bird is flying parallel to the train in the opposite direction with a velocity of 18 km/h. The time taken by the bird to cross the train is

An object is said to be in uniform motion in a straight line if its displacement