Cannoneer

A cannoneer is trying to hit a city on a plain. The city is 1 kilometer horizontally away from the cannon mouth. The cannon fires projectiles only at $\sqrt{2} \times 10^2$ m/sec. Assume $g = 10$ m/sec$^2$.

a) Find the angles at which the cannoneer can set the cannon in order to destroy the city.

b) How high does the cannonball go in each case?

c) How long do the people in the city have to wait between seeing the flash of the cannon and the arrival of the cannonball? Obviously we should ignore the speed of light in this one...