Pirates are attacking the coastal town of Townberg. The pirateshave
a cannon on their ship which can fire a cannonball at 440 metersper
second.
(a) Suppose the pirates fix the cannon at an angle of π/4. Writea function h(t) which gives the height (in meters) at t seconds forthe cannonball (assume that the cannonball has initial height 5meters) and a function d(t) which gives the horizontal distance ofthe cannonball (in meters) at t seconds.
(b) How far from Townberg does the pirate ship have to be sothat
the cannonball can hit the town (assume Townberg has aheight
of 0 meters)?
(c) What is the cannonball’s vertical speed as it hits theground?
What is the cannonball’s horizontal speed as it hits theground?
What is the cannonballs total speed as it hits the ground?
