The acceleration of a particle is given by $a = -ω^2x$. The graph representing the variation of velocity ($v$) with displacement ($x$) will be:

A ball is thrown vertically upwards. Which of the following graphs best represents the variation of its kinetic energy with height?

Two balls of same size but the density of one is greater than that of the other are dropped from the same height, then which ball will reach the earth first (air resistance is negligible)?

A particle when thrown, moves such that it passes from same height at 2 and 10s, the height is

A ball is dropped from top of a building. The ball take 0.5 s to fall past the 3 m length of window some distance from top of building with what speed does the ball pass the top of window?

An object is moving with uniform acceleration. Its velocity-time graph is represented by:

Two spheres of same size, one of mas 2 kg and another of mass 4 kg, are dropped simultaneously from the top of Qutub Minar (height =72m). When they are 1 m above the ground, the two spheres have the same

A body is thrown vertically up from the ground. It reaches a maximum height of 100m in 5sec. After what time it will reach the ground from the maximum height position

A body falling from a high Minaret travels 40 m in the last 2 seconds of its fall to ground. Height of Minaret in meters is (take $g = 10\;m/{s^{ - 2}}$ )

The velocity-time graph of a particle moving along a straight line is a parabola with vertex at the origin and opening upwards. Which of the following statements is correct about the particle's motion?

A ball A is thrown up vertically with speed u and at the same instant another ball B is released from a height h. At time t, the speed of A relative to B is