Question

Q. A body from rest starts to accelerate
uniformly with 4 m/s sq, find its displacement
in time 10 second .​

Answer 1

Given :

• Initial velocity of the body = 0 m/s [The initial velocity of the body is zero because it started from rest.]

• Acceleration of the body = 4 m/s²

• Time = 10 seconds

To find :

• Displacement of the body in 10 seconds

Solution :

We shall use the second equation of motion to find the displacement of the body in 10 seconds.

Second equation of motion :-

• s = ut + ½ at²

where,

• s denotes the distance/displacement

• u denotes the initial velocity

• t denotes the time

• a denotes the acceleration

we have,

• u = 0 m/s

• t = 10 seconds

• a = 4 m/s²

Substituting the given values :-

→ s = 0(10) + ½ (4)(10)²

→ s = 0 + ½ × 4 × 10 × 10

→ s = ½ × 4 × 10 × 10

→ s = 2 × 10 × 10

→ s = 200

→ The value of s = 200

Therefore, the displacement of the body = 200 m