Numerical questions for Chapter 1 of Physics

1. A car travels 100 km in 2 hours. What is its average speed?

Solution:

- Formula: Average speed = total distance ÷ total time
- Given: Distance = 100 km, Time = 2 hours
- Calculation: Average speed = 100 km ÷ 2 hours = 50 km/hour
- Answer: The car's average speed is 50 km/hour.

2. A ball is thrown upwards with a velocity of 20 m/s. What is its maximum height?

Solution:

- Formula: Maximum height = (initial velocity)^2 ÷ 2g
- Given: Initial velocity = 20 m/s, g (acceleration due to gravity) = 9.8 m/s^2
- Calculation: Maximum height = (20 m/s)^2 ÷ (2 × 9.8 m/s^2) = 20.4 meters
- Answer: The ball's maximum height is 20.4 meters.

3. A train accelerates from rest to a velocity of 50 m/s in 10 seconds. What is its acceleration?

Solution:

- Formula: Acceleration = (final velocity - initial velocity) ÷ time
- Given: Initial velocity = 0 m/s, Final velocity = 50 m/s, Time = 10 seconds
- Calculation: Acceleration = (50 m/s - 0 m/s) ÷ 10 seconds = 5 m/s^2
- Answer: The train's acceleration is 5 m/s^2.

4. A stone is dropped from a height of 50 meters. How long does it take to reach the ground?

Solution:

- Formula: Time taken = √(2h ÷ g)
- Given: Height = 50 meters, g (acceleration due to gravity) = 9.8 m/s^2
- Calculation: Time taken = √(2 × 50 meters ÷ 9.8 m/s^2) = 3.19 seconds
- Answer: The stone takes 3.19 seconds to reach the ground.

5. A car is moving at a speed of 30 m/s. How far will it travel in 10 seconds?

Solution:

- Formula: Distance = speed × time
- Given: Speed = 30 m/s, Time = 10 seconds
- Calculation: Distance = 30 m/s × 10 seconds = 300 meters
- Answer: The car will travel 300 meters in 10 seconds.

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