Numerical Problems in Physics.

Velocity and Acceleration

1.       A car covers the first half of the distance between two places at a speed of 40 km/h and the second half at 60 km/h. What is the average speed of car?

2.       A stone is thrown vertically upward with a velocity of 24.5 m/s 

 (i) Calculate the height to which it rises.

 (ii)Calculate also time it takes to reach the highest point.

3.       A body moving with uniform acceleration describes 10m in the 2nd second and 20 m in the 4^th second of its motion. Calculate the distance moved by it in the 5^th second.

4.       A ball thrown up vertically returns to the thrower after 6sec.

Find

(i) The velocity with which it was thrown up,

(ii)The Height and

(iii)Its position after 4 sec.

5.   A stone falls from the top of a tower 100 m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 25 m/s. Find when and where the two stone will meet.

6.       A stone is dropped from a rising balloon at a height of 300m above the ground and it reaches the ground in 10 sec. What was the velocity of the balloon at the moment the stone was dropped?

7.       A ball is allowed to fall from a tower 80 m high. As soon as the ball reaches half the way, the acceleration due to gravity suddenly disappears. Discuss the condition of the ball after this moment.

8.       From the top of a tower 98 m high, a stone is projected vertically upwards with a velocity of 39.2 m/s. Calculate

 (i) The greatest elevation,

 (ii)The velocity with which it strikes the ground and

(iii)The time it takes to reach the ground.

9.       A bullet is fired at an angle of 45^o with the horizontal and with a velocity of 900 m/s. How high will it rise and what will be its horizontal range?

10.   An aeroplane flying horizontally with a speed of 300 km/h releases a bomb at a height of 490 m from the ground. When and where will the bomb strike the ground ?

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