KINEMATICS LECTURE 4 TUTORIAL 1 LVL 1
KINEMATICS (PRACTICE PAPER) - 4
1. A ball is projected vertically upwards with a speed of 50 m/s.
Find (a) The maximum height,
(b) The time to reach the maximum height,
(c) The speed at maximum height. (g = 10m/s2)
2. A ball is dropped from a balloon going up at 7 m/s. If the balloon is at a height of 60 m at the
time of dropping the ball, how long will the ball take to reach the ground?
3. A stone is thrown vertically upward with a speed of 28 m/s.
(a) Find the maximum height reached by the stone,
(b) find its velocity one second before it reaches the maximum height.
(c) Does the answer to (b) change if initial velocity was say 80 m/s?
4. A body is thrown vertically upwards from the ground with velocity of 98 m/s. Calculate
(a) The maximum height reached,
(b) Time taken to reach the highest point,
(c) Velocity at height of 196 m from the point of projection,
(d) Velocity with which it returns to the ground and
(e) Time taken to reach the ground (g= 9.8 m/s2)
5. A ball thrown vertically upwards is caught by the person who threw the ball after 4s . How
high did it go and with what velocity was it thrown? How far was it below the highest point,
3s after it was thrown?
6. Two bodies A and B are thrown simultaneously. A is projected vertically upwards with
20m/sec from the ground and B is projected vertically downwards from a height of 40 m
with the same speed and along the same line of motion. At what point do the 2 bodies
collide? (Take g = 10m/s2)
7. A stone is dropped into a well of 45 m depth. Sound of splash due to stone striking the water
surface is heard after 3.125s. Find the velocity of sound in air. (Take g = 10m/s 2)
8. Acceleration due to gravity on a planet is 1/5 th that of earth. If it is safe to jump from a height
of 2m on earth surface, what will be corresponding safe height on this planet? (Assume
safety depends on the velocity of reaching ground)
9. A stone is dropped from a point 0.4m above the top of a 0.5m high window. Find the time
taken to stone to pass the span of the window. (Take g = 9.8 m/sec 2)
10. A,B,C and D are points on a vertical line such that AB=BC=CD. If a body falls from rest from A
then find the ratio of times of descent through AB,BC and CD.
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KINEMATICS LECTURE 4 TUTORIAL 1 LVL 1
11. A ball is dropped from the top of a building. The ball takes 0.5 seconds to cross the 3m
length of a window. If vT and vB are velocities of the ball at the top and bottom of the
building then find their values. (g= 10 m/s2)
12. A ball is thrown vertically upwards with a velocity of 20 m/s from the top of the tower. The
height of the tower is 25 m from the ground. (a) How high does the ball rise? And (b) How
long will it be before the ball hits the ground? (g= 10 m/s 2)
13. A parachutist after bailing out of the plane falls 52m without friction. When the parachute
opens, she decelerates at 2.1 m/s2 and reaches the ground at speed 2.9 m/s. (a) For how
long is the parachute in the air and (b) At what height did the fall begin?
