Questions in Motion in A Straight Line

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A man in a balloon rising vertically with an acceleration of \[4.9\,m/{\sec ^2}\] releases a ball 2 sec after the balloon is let go from the ground. The greatest height above the ground reached by the ball is \[(g = 9.8\,m/{\sec ^2})\]
A particle is dropped under gravity from rest from a height \[h(g = 9.8\,m/{\sec ^2})\] and it travels a distance \[9h/25\] in the last second, the height \[h\] is
A balloon is at a height of 81 m and is ascending upwards with a velocity of 12 m/s. A body of \[2kg\] weight is dropped from it. If \[g = 10\,m/{s^2}\], the body will reach the surface of the earth in
An aeroplane is moving with a velocity \[u\]. It drops a packet from a height \[h\]. The time \[t\] taken by the packet in reaching the ground will be
Water drops fall at regular intervals from a tap which is \[5\,\,m\] above the ground. The third drop is leaving the tap at the instant the first drop touches the ground. How far above the ground is the second drop at that instant
A ball is thrown vertically upwards from the top of a tower at \[4.9\,\,m{s^{ - 1}}\]. It strikes the pond near the base of the tower after 3 seconds. The height of the tower is
An aeroplane is moving with horizontal velocity \[u\] at height \[h\]. The velocity of a packet dropped from it on the earth's surface will be (\[g\] is acceleration due to gravity)
A rocket is fired upward from the earth's surface such that it creates an acceleration of 19.6 m/sec2. If after 5 sec its engine is switched off, the maximum height of the rocket from earth's surface would be
A bullet is fired with a speed of \[1000\,\,m/\sec \] in order to hit a target 100 m away. If \[g = 10\,\,m/{s^2}\], the gun should be aimed
A body starts to fall freely under gravity. The distances covered by it in first, second and third second are in ratio

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