Motion in a Str...

A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?

A car moves a distance of 200 m. It covers first half of the distance at speed 60 kmh^–1 and the second half at speed v. If the average speed is 40 kmh^–1, the value of v is

A bus begins to move with an acceleration of 1 ms^–2. A man who is 48 m behind the bus starts running at 10 ms^–1 to catch the bus. The man will be able to catch the bus after

A particle starts from rest at t = 0 and moves in a straight line with an acceleration as shown below. The velocity of the particle at t = 3 s is

The acceleration a of a particle starting from rest varies with time according to relation a = αt + β. The velocity of the particle after a time t will be

The relation between time and distance is t = αx² + βx, where α and β are constants. The retardation is

A body starting from rest moves with constant acceleration. The ratio of distance covered by the body during the 5th sec to that covered in 5 sec is

A particle moves along x-axis is
x = 4(t – 2) + a(t – 2)²
Which of the following is true?

A man is 45 m behind the bus when the bus start accelerating from rest with acceleration 2.5 m/s². With what minimum velocity should the man start running to catch the bus?

The velocity of a body depends on time according to the equation v = 20 + 0.1t². The body is undergoing