A sky diver is traveling with a velocity that has a 10 m/s downwards component, and a 5 m/s component both to the East and the South when she releases a drone. The drone experiences an upward acceleration of 15 m/s^2 due to it's blades, a downward acceleration due to gravity of 10 m/s^2, and an acceleration due to wind orientedNorthEast with a magnitude of 2 m/s^2.
a) At what time will will drone have an up-down component of velocity equal to zero?
b) What is the speed of the drone at this point in time?
c) Find a unit vector tangent to the path of the drone at this time.