A ball is thrown up is caught by the thrower after \(4s\). (a) How high did he thrown the ball and with what velocity was it was thrown? (b) How far was it below the highest point \(3s\) after it was thrown?
Ans:(a) \(h=19.6m\) and \(u=19.6m.s^{-1}\). (b) \(S=4.9m\).
A sky-diver bails out from a plane and after dropping through a distance of \(40m\), he opens the parasuit and deaccelerates at \(2 ms^{-2}\). If, he reaches the ground with a speed of \(2 ms^{-1}\), (a) how long is he in the air? (b) at what height did he bail out from the plane?
A stone falls from a cliff and travels \(24.5 m\) i the last second before it strikes the ground at the foot of a cliff. Find, the height of the cliff?
Ans: \(h_{cliff}=44.1m\).
A balloon rising vertically up with a uniform velocity \(15 ms^{-1}\) releases a ball at a height of 100m. Calculate: the time taken by the ball to hit the ground?
Ans: \(t=6.2Sec\).
A stone falls freely from rest and the total distance covered by it in the last second of its motion equal to the distance covered by it in the first three seconds of its motion? How long the stone will remain in the air?
Ans: \(n=5Sec\).
A A body dropped from rest at a height of \(150m\) and simultaneously, another body is dropped from rest from a point \(100m\) above the ground. What is their difference in height after they have fallen (i) \(2 Sec\) (ii) \(3 Sec\)? How does the difference in height vary with the time? Take: \(g=10ms^{-2}\).
Ans: \(50m\) and Does not depends upon time.
Drops of water from the roof of a house \(6m\) high falls at regular interval. The first drop reaches the ground at an instant of time when third drop leaves the ceiling of the roof. Find, the height of second drop from the ground at that instant?
Ans: \(4.5m\).
A ball is thrown upwards with a speed of \(100 ms^{-1}\). Show, that the ball hits the ground with the same speed after returning from highest point. Take: \(g=10 ms^{-2}\) and neglect the air resistance.
