A car starts from rest and covers a distance of 40m in 10s . Calculate the magnitude of its acceleration.

1 answer

To calculate the magnitude of acceleration, we can use the equation:

acceleration = change in velocity / time

In this case, the car starts from rest, so its initial velocity is 0 m/s. The distance covered in 10s is 40m. Therefore, we need to find the final velocity.

The distance covered can be calculated using the equation:

distance = initial velocity * time + (1/2) * acceleration * time^2

Since the car starts from rest, the equation reduces to:

40m = 0 * 10s + (1/2) * acceleration * (10s)^2

Simplifying the equation, we get:

40m = (1/2) * acceleration * 100s^2

Dividing both sides of the equation by 100s^2, we get:

0.4m/s^2 = acceleration

Therefore, the magnitude of the car's acceleration is 0.4 m/s^2.