Question

A car is travelling at 20 m/s. It accelerates uniformly at 3 m/S2 for 5 s. What is the distance the car travels while it is accelerating?

Answer 1

To calculate the distance the car travels while accelerating, we can use the equation:

Distance = Initial Velocity × Time + (1/2) × Acceleration × Time²

Given: Initial Velocity (u) = 20 m/s Acceleration (a) = 3 m/s² Time (t) = 5 s

Plugging in the values into the equation:

Distance = (20 m/s) × (5 s) + (1/2) × (3 m/s²) × (5 s)²

Calculating the terms:

Distance = 100 m + (1/2) × 3 m/s² × 25 s²

Distance = 100 m + 37.5 m

Distance = 137.5 m

Therefore, the car travels a distance of 137.5 meters while it is accelerating.