Motion numerical class 9, Cheat Sheet of Physics

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2024/2025

Uploaded on 06/23/2025

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CLASS IX PHYSICS
MOTION
NUMERICALS FOR PRACTICE
1. A particle is moving up an inclined plane. Its velocity changes from 25m/s to 10m/s
in 5 seconds. What is its acceleration?
2. The velocity changes from 35m/s to 60m/s in 3 seconds. What is its acceleration?
3. A body covered a distance of 4 metre along a semicircular path. Calculate the
magnitude of displacement of the body, and the ratio of distance to displacement?
4. A particle moving with an initial velocity of 8m/s is subjected to a uniform
acceleration of 2.5m/s2. Find the displacement in the next 4 sec.
5. A train is travelling at a speed of 40 km/ h. Brakes are applied so as to produce a
uniform acceleration of 0.5 m /s2. Find how far the train will go before it is brought
to rest.
6. A Truck covers 90km at a uniform speed of 30km/hr. what should be its speed for
the next 120km if the average speed for the entire journey is 60km/h?
7. A stone is thrown in a vertically upward direction with a velocity of 15 m/s. If the
acceleration of the stone during its motion is 8m /s2 in the downward direction,
what will be the height attained by the stone and how much time will it take to reach
there?
8. A person goes to market, makes purchases and comes back at a
constant slower speed. Draw displacement- time and velocity time graphs of the
person?
9. Rahul runs for 8 min. at a uniform speed 5 km/h. At what speed should he run for
the next 10 min. so that the average speed comes 15km/hr?
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CLASS IX PHYSICS

MOTION

NUMERICALS FOR PRACTICE

1. A particle is moving up an inclined plane. Its velocity changes from 25m/s to 10m/s in 5 seconds. What is its acceleration? 2. The velocity changes from 35m/s to 60m/s in 3 seconds. What is its acceleration? 3. A body covered a distance of 4 metre along a semicircular path. Calculate the magnitude of displacement of the body, and the ratio of distance to displacement? 4. A particle moving with an initial velocity of 8m/s is subjected to a uniform acceleration of 2.5m/s^2. Find the displacement in the next 4 sec. 5. A train is travelling at a speed of 40 km/ h. Brakes are applied so as to produce a uniform acceleration of −0.5 m /s^2. Find how far the train will go before it is brought to rest. 6. A Truck covers 90km at a uniform speed of 30km/hr. what should be its speed for the next 120km if the average speed for the entire journey is 60km/h? 7. A stone is thrown in a vertically upward direction with a velocity of 15 m/s. If the acceleration of the stone during its motion is 8m /s^2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there? 8. A person goes to market, makes purchases and comes back at a constant slower speed. Draw displacement- time and velocity time graphs of the person? 9. Rahul runs for 8 min. at a uniform speed 5 km/h. At what speed should he run for the next 10 min. so that the average speed comes 15km/hr?

10. A particle was at rest from 1 a.m. It moved at a uniform speed 40km/hr from 1. a.m. to 2:00 a.m. Find the average speed between

(a) 1.00 a.m. and 2.00 a.m.

(b) 1.15 a.m. and 2.00 a.m.

(c) 1.30 a.m. and 2.00 a.m

11. An object moves along a circular path of diameter 16cm with constant speed. If it takes 4 min. to move from a point on the path to the diametrically opposite point. Find

(a) The distance covered by the object

(b) The speed

(c) The displacement

(d) average velocity.

12. A particle with a velocity of 5m/s a t=0 moves along a straight line with a constant acceleration of 0.2m/s^2. Find the displacement of the particle in 15s? 13. A particle is pushed along a horizontal surface in such a way that it starts with a velocity of 15m/s. Its velocity decreases at a uniform rate of 0.5m/s^2. (a) Find the time it will take to come to rest.

(b) Find the distance covered by it before coming to rest?

14. A train accelerated from 30km/hr to 80km/hr in 5 minutes. How much distance does it cover in this period? Assume that the tracks are straight?

15. A cyclist moving on a circular track of radius 100m completes one revolution

in 8 minutes. What is his

(a) average speed

(b) average velocity in one full revolution?