Numerical Questions and Solutions
1. A car is moving at 50 km/h for 90 minutes. Calculate the distance covered.
Distance = Speed × Time = 50 × (90/60) = 75 km.
2. A pendulum takes 2 seconds for one oscillation. How many oscillations will it complete in 2 minutes?
Number of oscillations = Total time / Time per oscillation = 120 / 2 = 60 oscillations.
3. A car covers 240 km in 3 hours. Calculate its speed in km/h.
Speed = Distance / Time = 240 / 3 = 80 km/h.
4. A cyclist covers 18 km in 36 minutes. Find his speed in km/h.
Speed = Distance / Time = 18 / (36/60) = 30 km/h.
5. A pendulum completes 120 oscillations in 240 seconds. Calculate its frequency.
Frequency = Number of oscillations / Time = 120 / 240 = 0.5 Hz.
6. Convert a speed of 36 km/h to m/s.
Speed = 36 × 1000 / 3600 = 10 m/s.
7. A car travels at a speed of 60 km/h for 2.5 hours. Calculate the total distance covered.
Distance = Speed × Time = 60 × 2.5 = 150 km.
8. A bus covers 20 km in 25 minutes. Calculate its speed in km/h.
Speed = Distance / Time = 20 / (25/60) = 48 km/h.
9. A pendulum takes 1.2 seconds for one oscillation. How many oscillations will it complete in 72 seconds?
Number of oscillations = Total time / Time per oscillation = 72 / 1.2 = 60 oscillations.
10. A car travels 30 km in 20 minutes. Find its speed in km/h.
Speed = Distance / Time = 30 / (20/60) = 90 km/h.
11. A pendulum’s frequency is 1.5 Hz. Calculate its time period.
Time period = 1 / Frequency = 1 / 1.5 ≈ 0.67 seconds.
12. A car moves at a constant speed of 75 km/h for 2 hours. Calculate the distance covered.
Distance = Speed × Time = 75 × 2 = 150 km.