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

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.

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