Question

Describe the motion of the body which is accelerating at a constant rate of 10 m/s². If the body starts from rest, how much distance will it cover in 2s?​

Answer 1

Answer:

The distance covered in 2s is 20 meters.

Solution:

As the body is moving in constant acceleration, the motion of the body is linear.

If the body starts from rest means its initial velocity is zero which is represented mathematically as u = 0.

The acceleration is constant i.e. a=10m/s² and the time covered will be t = 2s.

So provided the data’s such as initial velocity, acceleration and time covered given, the distance covered in 2s can be calculated using the Newton’s third equation of motion, i.e.,

x = ut+½at² →. ( 1 )

By substituting the known values in (1), we get

x = (0×2) + ( ½ × 10 × 2 × 2)

∴ x = 20m.

* Thus, the distance covered by the body in 2s is 20 meters.