14. An airplane's velocity in the first 10.0 s of flight is given by v = 8.2ti + 1.2 tk, where i is due east and k is straight up. Unit of velocity is m/s. a) What is the plane's acceleration at all times? (vector!) b) What is the plane's jerk? Why is this good? c) Integrate v = 8.2 ti + 1.2 t k to find r(t). Take the constant of integration = 0. That is, r(0) = 0 d) What is the planes position at 10.0 s? e) How far is the plane from its starting point at 10.0 s