Apilot loses control of her drone and it goes into a spiraling freefall toward the ground. assume the position of the drone, relative to the pilot (consider her the 'origin') is given by ) (3sin(rt) 3cos(rt),120-9r), over [0, t,], wheret, is time until impact (t is in seconds and each component is measured in feet) a. find the velocity and acceleration vectors of the plane's trajectory determine the plane's speed at 3 seconds, as well as its downward velocity at that time (note that this is just how fast the drone's height is dropping b. assuming the pilot cannot correct the spin, determine the point on the ground (relative to our origin) where the drone hits. also determine the total distance covered by the spiraling drone (you may need to use technology here) c. assume now, on the other hand, that the drone comes out of its spiral after 8 seconds, but that its path afterward is tangent to its trajectory at that moment. determine how far from the pilot the drone hits the ground d. assume the ground is flat as far as the eye can see (as flat as, the xy-plane)