Question

Its velocity changes at different time intervals. Calculate the instantaneous

velocity at time 3 sec. The distance is given by equation 2t² – 4t

Answer 1

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

Step-by-step 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:

`x(t)=2t^2 - 4t`

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

`\displaystyle v(t) = (dx)/(dt)`

`\displaystyle v(t) = (d(2t^2 - 4t))/(dt)`

`v(t) =4t -4`

Now evaluate the velocity for t=3 sec:

`v(3) =4(3) -4`

`v(3) =12 -4 = 8`

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