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

Question

A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10 &#160; m in t &#160; s , the distance travelled by the toy in the next t &#160; s will be:

Aicharya · Accepted Answer

Initial velocity of the particle is zero.

Applying equation of motion, we get $10 = \frac{1}{2} \times a \times t^{2}$

Let distance covered in next $t s$ is $x$ .

Then, $10 + x = \frac{1}{2} \times a \times {(2 t)}^{2}$

$\Rightarrow 10 + x = \frac{1}{2} a t^{2} \times 4$

$\Rightarrow 10 + x = 10 \times 4$

$\Rightarrow x = 30 m$

A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance…

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