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nadong2dong
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Homework Statement
A pirate ship is on a waterfall above a fort. The height of the waterfall is 200m above the fort. The pirate captain fires a cannon with an initial velocity 40m/s at angle of 40 degrees. If the cannonball makes a direct hit on the fort, how far away(horizontally) was the pirate ship when it fired.
Homework Equations
First find x and y comp.
40cos45=28.28m/s
40sin45=28.28m/s
final velocity^2 = initial velocity^2 +2ad
Final velocity^2= (40^2) + 2(-9.8)(-200)
final velocity= 74.3m/s
final velocity= initial velocity + at
74.3m/s= 40m/s+(-9.8)t
t= 3.5s
Velocity(x-direction) x t= horizontal distance
28.23 x 3.5s = 98.98m
The Attempt at a Solution
98.98m