if the distance travelled by a body in the time t is given by x=t⁵ ,then what will be the instantaneous velocity of the body at t=2.

The instantaneous velocity at t=2 is 80

Explanation:

Instantaneous Velocity

The instantaneous velocity can be defined as the instant rate of change of the distance.

In calculus, it's computed as the derivative of the distance function. If x is the distance function x=f(t), then the instantaneous velocity is:

The distance traveled by a body in time t is given by:

The instant velocity is:

Applying the power rule:

Evaluating at t=2

The instantaneous velocity at t=2 is 80

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the answer would be 32*f