(part 1 of 2): An airplane flying parallel to the ground undergoes two consecutive displacements. The first is 84 km at 33.7◦ west of north, and the second is 160 km at 65.3◦ east of north. What is the magnitude of the plane’s total displacement? Answer in units of km.

(part 2 of 2): At what angle east of north is the plane’s total displacement? Answer in units of ◦.

Aball is thrown from the top of a building with an initial velocity of 21.9 m/s straight upward, at an initial height of 51.6 m above the ground. the ball just misses the edge of the roof on its way down, as shown in the figure. (a) determine the time needed for the ball to reach its maximum height. (b) determine the maximum height. (c) determine the time needed for the ball to return to the height from which it was thrown, and the velocity of the ball at that instant. (d) determine the time needed for the ball to reach the ground. (e) determine the velocity and position of the ball at t = 5.35 s.