Page 203 - Physics

Linear motion

10. (a) Form one students were conducting an experiment to investigate the fi nal
velocity, distance covered, in every second of a free fall. The results were
recorded in the following Table.

Time (in seconds) 0 1 2 3 4 5

Acceleration (in m/s ) 9.8 9.8 9.8 9.8 9.8 9.8
2
Distance (in metres) 0 4.9 19.6 44.1 78.4 122.5
Velocity (in m/s ) 0 9.8 19.6 29.4 39.2 49
2
From the table:
(i) What happens when an object undergoes free fall?

(ii) Deduce the relationship between velocity, acceleration due to gravity
and time.
(b) If you were to draw the acceleration-time graph, predict the nature of the
graph (without drawing the graph).
11. The driver of a bus travelling along a gravel road at a speed of 40 m/s from town
A, applies the brake as the bus approaches town B and the bus slows down at a
rate of 2 m/s . If the platform is 400 m long, will the lorry stop in time? Why?
2
12. A student dropped his ball from a height of 5 meters and then he ran downstairs
actually fast to see if he could catch the ball, in doing so he took 1 minute to
reach the ground. Will he be able to catch the ball? (note that the air friction is
neglected)
13. An object is dropped and is now free-falling under gravity. The stopping distance
is given as 0.5 meters for the object. Find out the reaction time neglecting other
factors.
14. A car has a velocity of 19m/s and the braking capacity of the car is given as
11m/s . What will the stopping distance be for the car?
2
15. At an instant, two cars A and B move at a speed of 15 m/s in the same direction.
Car B is 300 m ahead of car A. If car A is accelerating at 6 m/s while car B
2
continues to move at the same speed, what will be the time taken by car A to
overtake car B?

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Physics Form 1 Final.indd 197 16/10/2024 20:58