Its velocity changes at different time intervals. Calculate the instantaneous velocity at time 3 sec. The distance is given by equation 2t² – 4t

The instantaneous velocity at time 3 sec is 8 (no units specified).

Explanation:

Instantaneous Velocity

The instantaneous velocity of an object is the derivative of the distance function with respect to time.

The distance is given by the function:

Now we compute the instantaneous velocity function by taking the derivative of x:

Now evaluate the velocity for t=3 sec:

The instantaneous velocity at time 3 sec is 8 (no units specified).

0.19 m/s and 0.45 m/s