PHYSICS 7A Midterm: physics7A-fa2016-mt1-Reinsch-soln
Document Summary
Since the acceleration changes at t = t1, we can"t just go directly to our regular kinematic equations to solve for the plane"s velocity and distance at t = t2. There are several ways that we can approach this. Since the function you are integrating changes during the integral, you will have to break it up into the integral from t = 0 to t = t1 plus the integral from t = t1 to t = t2. Using method 1) for parts (a) and (b): (a) let v1(t) be the velocity of the plane for 0 < t < t1, and v2(t) the velocity of the plane for t1 < t < t2. If v0 is the initial velocity, and a0 is the acceleration during that time interval, then v1(t) = v0 + a0t. And if 2a0 is the acceleration during the second time interval, then v2(t) = v(t1) + 2a0(t - t1).
