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Velocity Calculator
what is velocity ?
Velocity is a physical quantity that describes the rate at which an object changes its position. It is a vector quantity, which means it has both magnitude and direction. In simpler terms, velocity tells you how fast an object is moving and in what direction.
here are two examples:
- A car traveling eastward at 60 kilometers per hour.
- A person walking north at 1.5 meters per second.
here are ten problems and their solutions related to velocity calculation for Class 9:
Problem 1: A car travels 200 kilometers in 4 hours. Calculate its average velocity.
Solution: Average velocity = Total distance / Total time Average velocity = 200 km / 4 hours Average velocity = 50 km/h
Problem 2: A train accelerates from rest to a velocity of 30 m/s in 20 seconds. Calculate its acceleration.
Solution: Acceleration = Change in velocity / Time taken Acceleration = (30 m/s – 0 m/s) / 20 s Acceleration = 30 m/s / 20 s Acceleration = 1.5 m/s²
Problem 3: A runner covers a distance of 400 meters in 50 seconds. Calculate the average speed.
Solution: Average speed = Total distance / Total time Average speed = 400 m / 50 s Average speed = 8 m/s
Problem 4: A car accelerates uniformly from 20 m/s to 40 m/s in 4 seconds. Calculate its acceleration.
Solution: Acceleration = Change in velocity / Time taken Acceleration = (40 m/s – 20 m/s) / 4 s Acceleration = 20 m/s / 4 s Acceleration = 5 m/s²
Problem 5: A ball is thrown vertically upwards with a velocity of 20 m/s. Calculate the time taken for it to reach the highest point.
Solution: Time taken to reach highest point = Initial velocity / Acceleration due to gravity Time taken to reach highest point = 20 m/s / 9.8 m/s² Time taken to reach highest point ≈ 2.04 seconds
Problem 6: A car travels at a speed of 72 km/h for 3 hours. Calculate the distance covered.
Solution: Distance covered = Speed × Time Distance covered = 72 km/h × 3 hours Distance covered = 216 km
Problem 7: A motorcycle accelerates uniformly from rest to a velocity of 30 m/s in 10 seconds. Calculate its acceleration.
Solution: Acceleration = Change in velocity / Time taken Acceleration = (30 m/s – 0 m/s) / 10 s Acceleration = 30 m/s / 10 s Acceleration = 3 m/s²
Problem 8: A train decelerates uniformly from 30 m/s to rest in 10 seconds. Calculate its deceleration.
Solution: Deceleration = Change in velocity / Time taken Deceleration = (0 m/s – 30 m/s) / 10 s Deceleration = -30 m/s / 10 s Deceleration = -3 m/s²
Problem 9: A cyclist covers a distance of 40 km in 2 hours. Calculate the average speed.
Solution: Average speed = Total distance / Total time Average speed = 40 km / 2 hours Average speed = 20 km/h
Problem 10: A rocket accelerates uniformly from rest to a velocity of 200 m/s in 10 seconds. Calculate its acceleration.
Solution: Acceleration = Change in velocity / Time taken Acceleration = (200 m/s – 0 m/s) / 10 s Acceleration = 200 m/s / 10 s Acceleration = 20 m/s²
