🔥 Chapter: Motion – TOUGH Numericals (Class 9 CBSE)
Q1.
A car covers the first 40 km at 60 km/h and the next 40 km at 40 km/h.
Find the average speed of the car.
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Q2.
A train starts from rest and accelerates uniformly at 1.5 m/s² for 20 seconds.
It then moves with constant speed for 30 seconds and finally comes to rest in 10 seconds.
Find the total distance travelled.
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Q3.
Two cars A and B start from the same point at the same time.
Car A moves with a speed of 60 km/h and car B moves with 72 km/h.
How far apart will they be after 30 minutes?
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Q4.
A body is thrown vertically upward with a velocity of 30 m/s.
Find:
1. Time taken to reach the maximum height
2. Total time of flight
(Take g = 10 m/s²)
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Q5.
A train travelling at 20 m/s accelerates at 0.5 m/s² for 40 seconds.
Find:
1. Final velocity
2. Distance travelled during acceleration
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Q6.
A car moves with uniform acceleration.
Its velocity changes from 10 m/s to 30 m/s while covering a distance of 200 m.
Find the acceleration.
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Q7.
A body covers first one-third of the distance at 10 m/s, the next one-third at 20 m/s, and the last one-third at 30 m/s.
Find the average speed.
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Q8.
A bus covers a distance of 300 km.
For the first 100 km it moves at 50 km/h, for the next 100 km at 75 km/h, and for the last 100 km at 60 km/h.
Find the average speed of the bus.
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Q9.
A stone is dropped from the top of a tower 100 m high.
At the same time, another stone is thrown vertically upward from the ground with a velocity of 20 m/s.
Will the two stones meet? If yes, find the time after which they meet.
(Take g = 10 m/s²)
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Q10.
A car starting from rest covers half of the total distance with acceleration a and the remaining half with uniform speed.
Find the ratio of time taken in the first half to the second half.
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✅ ANSWERS (ONLY)
1. 48 km/h
2. 1250 m
3. 6 km
4. 3 s, 6 s
5. 40 m/s, 1200 m
6. 2 m/s²
7. 16.36 m/s (approx)
8. 61.2 km/h (approx)
9. Yes, after 2 s
10. 1 : 1
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