A car starts moving at time t=o and continuously accelerates.Its velocity is shown in the following table.Use the information to estimate how far the car travels during the 12 seconds.

T (seconds)

0

3

6

9

12

Velocity(ft/sec)

0

8

14

26

50

I think that we should find distance for all the times and velocity provided to us using the formula Speed=distance/time=>distance=sp*time

and then add up all the distances to find total distance.But Iam not sure whether we need to do it this way as we our dealing with integrals.

Any suggestions?