The velocity components of a particle are given as $v_x = 4 - 6t$ and $v_y = 12$ in m/s. What is its acceleration at $t = 2$ s?

A particle starts from rest and travels a distance s with uniform acceleration, then it travels a distance 2s with uniform speed, finally it travels a distance 3s with uniform retardation and comes to rest. If the complete motion of the particle in a straight line then the ratio of its average velocity to maximum velocity in

A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every circular loop. The average velocity and average speed for each circular loop respectively is

If a body looses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest

A body is projected horizontally with a velocity $u$ from a height $h$. If $R$ is the horizontal range and $T$ is the time of flight, which of the following is correct (neglecting air resistance)?

If a particle moves with an acceleration, then which of the following can remain constant

A car accelerates uniformly from rest to a speed of 20 m/s in 5 seconds. What is its acceleration?

If a car starts from rest and accelerates at 2 m/s² for 5 seconds, what will be its final velocity?

A man is 45 m behind the bus, when the bus starts accelerating from rest with acceleration $2.5\;{\rm{m}}{{\rm{s}}^{ - 2}}.$. With what minimum velocity should the man start running to catch the bus?

A particle starts from rest and moves along a straight line with an acceleration given by $a = 6t - 4$, where $a$ is in $m/s^2$ and $t$ is in seconds. At what time is the velocity of the particle zero after the start of motion?

Percentage of total distance covered in 5th Second by a freely falling body is