Sgt Jay sits in a hovercraft 35.2 m above the surface of the planet Bai. The acceleration due to gravity at the Bain surface is 5.67 m/s^(2) down. Jay throws a rock at an angle 20° up from south with an initial speed of 2.13 m/s. How long does it take for the rock to hit the surface? With what speed does the rock hit the surface? How far south of the hovercraft does it land? Ignore any wind resistance.
When Sgt Jay's rock hits the surface of Bai, it triggers a tractor beam which is part of the bain defense system. The tractor beam causes Jay's hovercraft to accelerate to the west. The magnitude of that acceleration is given by the formula: a(t) = 4.25 m/s2 + (0.225 m/s3)×t, where t is the time from the turning on of the tractor beam.
What is Jay's velocity at t = 4.32s? At t = 4.32s what is his displacement relative to his position at t = 0?