Question

A small toy starts moving from the position of rest under constant acceleration. If it travels a distance of 10 minutes, the distance travelled by the toy in the next will be ______.

Options

• 10 m

• 20 m

• 30 m

• 40 m

Answer 1

A small toy starts moving from the position of rest under constant acceleration. If it travels a distance of 10 minutes, the distance travelled by the toy in the next will be 30 m.

Explanation:

The acceleration is constant under the given conditions, and the initial velocity (u) is equal to zero.

Allow 't' seconds to travel from A to B, and another 't' seconds to travel from B to C.

Using the II equation of motion for A to B, we get: 

S = `ut + 1/2 at^2`

`10 = 0(t) + 1/2 at^2`

a = `20/t^2` ............(1)

Using the II equation of motion once more for B to C, we get the following results:

S = `ut + 1/2 at^2`

x = `(at)t + 1/2at^2` ..........(2) [∵ υ = u + at at u = 0, v = at]

We have obtained using equations (1) and (2),

`x = 20/t^2 xx t^2 + 1/2 xx 20/t^2 xx t^2`

x = 20 + 10 = 30 m