The displacement x of a particle varies with time t as x = ae^$$-$$at + be^{$$\beta $$t}, where a, b, $$\alpha $$ and $$\beta $$ are positive constants. The velocity of the particle will

A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time ? (Given g = 9.8 m/s²)

If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is

A particle is thrown vertically upward. Its velocity at half of the height is 10 m/s, then the maximum height attained by it (g = 10 m/s²)