A woman driving her car approaches an intersection and begins to accelerate just as the traffic light turns green. Her velocity is the function of time described by the equation:
v(t)=2t^2-8t+10
(A)
Use calculus to find her instantaneous acceleration at t=8.0seconds
(B)
Use calculus to find the area under the curve to see how far she traveled between t=0seconds and t=4.0seconds
Please walk me through all of your steps, instead of just suggesting a formula.
Thank you!