8. Measurement of Time and Motion
Complete solutions to Let Us Enhance Our Learning. CBSE / NCERT Class 7 Science (Curiosity).
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1 m/s = 18/5 km/h
Speed = 15 × 18/5 = 54 km/h
The speed of the car is 54 km/h.
Speed of second runner = 400 ÷ 45 = 8.89 m/s (approx.)
Difference = 8.89 − 8 = 0.89 m/s
The second runner is faster by about 0.89 m/s.
Time = Distance ÷ Speed = 3,60,000 ÷ 25 = 14,400 s
14,400 s ÷ 3600 = 4 h
The train takes 4 hours.
(ii) 60 km/h = 60 × 1000 m ÷ 3600 s = 16.67 m/s (approx.)
(iii) Distance = Speed × Time = 60 × 4 = 240 km
Answers: 60 km/h 16.67 m/s 240 km
Speed of horse = 18 m/s
Difference = 20 − 18 = 2 m/s
The train is faster than the horse by 2 m/s.
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| Uniform motion | Non-uniform motion |
|---|---|
| Example: a car on a straight highway with no traffic. | Example: a car moving in city traffic. |
| The car moves with a constant speed. | The speed of the car keeps changing. |
| It covers equal distances in equal intervals of time. | It covers unequal distances in equal intervals of time. |
| The car does not need to slow down or stop. | The car slows down, stops and speeds up again at signals and crowded roads. |
Speed = 8 m ÷ 10 s = 0.8 m/s. The object covers 8 m in every 10 s.
| Time (s) | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
|---|---|---|---|---|---|---|---|---|
| Distance (m) | 0 | 8 | 16 | 24 | 32 | 40 | 48 | 56 |
No, the motion is non-uniform. The car covers unequal distances in equal intervals of time (1 hour each).
Total time = 3 h
Average speed = 180 ÷ 3 = 60 km/h
Non-uniform motion is more common in daily life.
- A bus moving on a road stops at bus stops and signals.
- A child cycling to school slows down at turns and speeds up on a clear road.
- A person walking in a market keeps changing speed.
In each case, the speed keeps changing.
The distances covered in every 10 s are 6, 4, 6, 5, 8, 6, 7, 3, 10 and 5 m. These are not equal. So the speed is non-uniform.
Total time = 100 s
Average speed = 60 ÷ 100 = 0.6 m/s
Time for next 500 m = 500 ÷ 5 = 100 s
Time left = 200 − (50 + 100) = 50 s
Remaining distance = 2000 − 1000 = 1000 m
Required speed = 1000 ÷ 50 = 20 m/s
Average speed = 2000 m ÷ 200 s = 10 m/s
Required speed = 20 m/s; average speed = 10 m/s.
Exploratory Projects
Exploratory Projects are hands-on tasks. Do them with your classmates under the guidance of your teacher, and write your own observations.