Motion in a Str...

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

Free fall of an object in vacuum is a case of motion with

Which of the following equations does not represent the kinematic equations of motion?

Which of the following statements is not correct?

The distances covered by a freely falling body in its first, second, third,..., n^th seconds of its motion

A body covers 20 m, 22 m, 24 m, in 8^th, 9^th and 10^th seconds respectively. The body starts

A player throws a ball vertically upwards with velocity u. At highest point,

A car moving along a straight road with speed of 1.44 km h is brought to a stop within a distance of 200 m. How long does it take for the car to stop?

An auto travelling along a straight road increases its speed from 30.0 m s^-1 to 50.0 m s^-1 in a distance of 180 m. If the acceleration is constant, how much time elapses while the auto moves this distance?

A body falling freely under gravity passes two points 30 m apart in 1 s. From what point above the upper point it began to fall? (Take g = 9.8 ms²).

A player throws a ball upwards with an initial speed of 30 m s⁻¹. How long does the ball take to return to the player's hands? (Take g = 10 m s⁻²).

A girl standing on a stationary lift (open from above) throws a ball upwards with initial speed 50 m s^-1. The time taken by the ball to return to her hands is (Take g = 10 ms^-2)

A girl standing on a stationary lift (open from above) throws a ball upwards with initial speed 50 m s^-1. if the lift starts moving up with a uniform speed of 5ms⁻¹ and the girl again throws the ball up with the same speed, how long does the ball take to return to her hands?

It is a common observation that rain clouds can be at about 1 km altitude above the ground. If a rain drop falls from such a height freely under gravity, then what will be its speed in km h^-1 (Take g = 10 m )

A man is standing on top of a building 100 m high. He throws two balls vertically, one at t = 0 and other after a time interval (less than 2 s). The later ball is thrown at a velocity of half the first. The vertical gap between first and second ball is 15 m at t = 2 s. The gap is found to remain constant. The velocities with which the balls were thrown are (Take g = 10 m s⁻²).

A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the top

A ball is thrown vertically upwards with a velocity of 20 m s^-1 from the top of a multistorey building of 25 m high. How high will the ball rise? (Take g = 10 m s^-2)

A ball is thrown vertically upwards with a velocity of 20 m s^-1 from the top of a multistorey building of 25 m high. the time taken by the ball to reach the ground is

Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h^-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 ms^-2. If after 50s, the guard of B just brushed past A, what was the original distance between them?

The velocity of a particle at an instant is 10 ms^-1 After 3 s its velocity will becomes 16 ms^-1. The velocity at 2 s, before the given instant will be

A body covers a distance of 4 m in 3rd second and 12 m in 5th second. If the motion is uniformly accelerated, how far will it travel in the next 3 seconds?

Stopping distance of a moving vehicle is directly proportional to

A car moving with a speed of 50 km h^-1 can be stopped by brakes after atleast 6 m. If the same car is moving at a speed of 100 km h the minimum stopping distance is

An object falling through a fluid is observed to have acceleration given by a = g − bv where g = gravitational acceleration and b is constant. After a long time of release, it is observed to fall with constant speed. The value of constant speed is

A particle is released from rest from a tower of height 3h. The ratio of the intervals of time to cover three equal heights h is

A stone is dropped from the top of a tall cliff and n seconds later another stone is thrown vertically downwards with a velocity u. Then the second stone overtakes the first, below the top of the cliff at a distance given by

A motorcycle and a car start from rest from the same place at the same time and travel in the same direction. The motorcycle accelerates at 1.0ms⁻¹ up to a speed of 36 kmh^-1 and the car at 0.5 ms¹ up to a speed of 54 kmh^-1. The time at which the car would overtake the motorcycle is

A body initially at rest is moving with uniform acceleration a. Its velocity after n seconds is v. The displacement of the body in last 2 s is

A body A starts from rest with an acceleration a₁. After 2 seconds, another body B starts from rest with an acceleration a₂. If they travel equal distances in the 5th second, after the start of A, then the ratio a₁ : a₂,  is equal to

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