If the equation of an average velocity of a sport car was given by the equation V(t) = 3t^2 -6t +24. Determine its displacement after 3 seconds

72

Explanation:

The displacement of an object can be found from the velocity of the object by integrating the expression for the velocity.

In this problem, the velocity of the sport car is given by the expression

In order to find the expression for the position of the car, we integrate this expression. We find:

where C is an arbitrary constant.

Here we want to find the displacement after 3 seconds. The position at t = 0 is

While the position after t = 3 s is

Therefore, the displacement of the car in 3 seconds is

small = small current large mag large current