Question

The velocity of an object is given as a function of time by v = 4t - et^2 where v is in m/s and t is in seconds. Its average velocity over the interval from t=0 to t=2 is ?

Answer 1

Find the position vector.

Answer 2

What is C though since I'm not given any initial condition?

Answer 3

Average velocity = total displacement/time

Displacement is the integral of velocity over time: \[\Large \int\limits_{0}^{2} (4t - e t^2) dt\]

Answer 4

Nvm figured it out

Answer 5

Don't worry about C yet.