Q1. A space vehicle is coasting at a constant velocity of 28.5 m/s in the +y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.523 m/s2 in the +x direction. After 55.5 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find out (a) magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the +y direction.
Q2. A hot-air balloon is rising upward with a constant speed of 2.74 m/s. at what time the balloon is 2.64 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before compass hits the ground?