In matematica, complete these questions:
A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis).
The initial velocity is 50i+80k with speed measured in feet per second.
The spin of the ball results in a southward acceleration of 4 ft/sec2 so the acceleration is a = -4j - 32k
At what time does the ball hit the ground? (ie. when is the z component of the position function equal to zero?)
What is the position of the ball when it lands?
How far is the ball from the origin? (This is a distance, use proper units of measurement)
At what speed is the ball moving when it impacts the ground? (0 is not the correct answer).
Plot the trajectory of the ball from time 0 until it lands (which is the time you solve in the first part).