Aspace vehicle is coasting at a constant velocity of 21.4 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 0.301 m/s2 in the +x direction. after 38.9 s, the pilot shuts off the rcs thruster. after the rcs thruster is turned off, find (a) the 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.

Abasketball star covers 2.65 m horizontally in a jump to dunk the ball. his motion through space can be modeled precisely as that of a particle at his center of mass. his center of mass is at elevation 1.02 m when he leaves the floor. it reaches a maximum height of 1.90 m above the floor and is at elevation 0.910 m when he touches down again. (a) determine his time of flight (his "hang time"). (b) determine his horizontal velocity at the instant of takeoff. (c) determine his vertical velocity at the instant of takeoff. (d) determine his takeoff angle. (e) for comparison, determine the hang time of a whitetail deer making a jump with center-of-mass elevations yi = 1.20 m, ymax = 2.45 m, and yf = 0.750 m.