Imagine an unusual scenario in which a large gun mounted on a vehicle is required to hit an explosives factory (figure B). A huge explosion is expected, and there must be time for the gunner to retreat. A grove of trees provides cover. The maximum range of the gun is 13.2 km, and the maximum speed of the vehicle is 77.3 km/h. (a) What is the muzzle speed v0? (Muzzle speed is the speed at which the projectile leaves the barrel of the gun. Enter your answer to at least three significant digits.)
m/s

(b) The target is 5.5 km away. Find the low angle L and the high angle H at which the gunner may aim so as to hit the target.
L =
° counterclockwise from the +x axis
H =
° counterclockwise from the +x axis

(c) Find the time the projectile takes to hit the target for both angles.
tL =
s
tH =
s

(d) Assume the vehicle retreats at its maximum speed (77.3 km/h) to be as far from the ensuing explosion as possible. How far is it from the factory at the time of the explosion for each launch angle?
xL =
m
xH =
m