Thread: What is the total distance traveled in the time interval 0?t?5?

The velocity function of an object is v(t) = 3t^2 -2t-1, where v is im m/s. What is the total distance traveled in the time interval 0?t?5?

integrate between the limits - it's a simple one:

= t^3 - t^2 - t = 125 - 25 - 5 = 95 m^2