Pirates are attacking the coastal town of Townberg. The pirates have a cannon on their ship...

Pirates are attacking the coastal town of Townberg. The pirates have

a cannon on their ship which can fire a cannonball at 440 meters per

second.

(a) Suppose the pirates fix the cannon at an angle of π/4. Write a function h(t) which gives the height (in meters) at t seconds for the cannonball (assume that the cannonball has initial height 5 meters) and a function d(t) which gives the horizontal distance of the cannonball (in meters) at t seconds.

(b) How far from Townberg does the pirate ship have to be so that

the cannonball can hit the town (assume Townberg has a height

of 0 meters)?

(c) What is the cannonball’s vertical speed as it hits the ground?

What is the cannonball’s horizontal speed as it hits the ground?

What is the cannonballs total speed as it hits the ground?

Expert Solution

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Colby Messinger answered 1 year ago

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