1. On a spacecraft two engines fire for a time of 565 s. One gives the craft an acceleration in the x direction of ax = 5.10 m/s^2, while the other produces an acceleration in the y direction of ay = 7.30 m/s^2. At the end of the firing period, the craft has velocity components of vx = 3775 m/s and vy = 4816 m/s. Find the magnitude and direction of the initial velocity. Express the direction as an angle with respect to the +x axis.

22. the top of a cliff is located a distance h above the ground. at a distance h/2 there is a branch that juts out from the side of the cliff, and on this branch a bird's nest is located. two children throw stones at the nest with the same initial speed, one stone straight downward from the top of the cliff and the other stone straight upward from the ground. in the absence of air resistance, which stone hits the nest in the least amount of time?