The distance travelled by an object in time t is given by s = 2 . 5 t 2 . The instantaneous speed of the…

The distance travelled by an object in time t is given by s=2.5t2 . The instantaneous speed of the object at t=5 s will be :
  1. 25 m s–1
  2. 5 m s–1
  3. 62.5 m s–1
  4. 12.5 m s–1

Solution

It is given that 

s=2.5t2

Differentiating,

v=dsdt=d2.5t2dt=5t

 At t = 5 s, v= 25 m s-1

Asked in: JEE Main 2023 (13 Apr Shift 2)

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