The distance travelled by an object in time is given by The instantaneous speed of the object at = 5 s will be: [2023]

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Solution

Q.
The distance travelled by an object in time $t$ is given by $s = (2.5) t^{2} .$ The instantaneous speed of the object at $t$ = 5 s will be: [2023]

1 12.5 ${ms}^{- 1}$

2 62.5 ${ms}^{- 1}$

3 5 ${ms}^{- 1}$

4 25 ${ms}^{- 1}$

Ans.
(4)

$Distance (s) = (2.5) t^{2}$

$Speed (v) = \frac{d s}{d t} = \frac{d}{d t} {(2.5) t^{2}}$

$v = 5 t$

$At t = 5, v = 5 \times 5 = 25 m/s$

Option (4) is correct

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