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King Arthur's knights fire a cannon from the top of the castle wall. The cannonball is fired at a speed of?
King Arthur's knights fire a cannon from the top of the castle wall. The cannonball is fired at a speed of 55 and an angle of 28 . A cannonball that was accidentally dropped hits the moat below in 1.2 .
A)How far from the castle wall does the cannonball hit the ground?
B)What is the ball's maximum height above the ground?
Hor
s = S
u = 55cos28
v = 55cos28
a = 0
t = 1.2
s = ut gives S = 55cos28 x 1.2 = 58.275 m
For ball which is dropped
s = D
u = 0
v = V
a = g = 9.81
t = 1.2
s = ut + 0.5at^2 gives D = 0 + 0.5(9.81)(1.2)^2 ~ 7.063m
For ball fired at 55 degrees
s = S
u = 55sin28
v = 0
a = -g = -9.81
t = T
v^2 = u^2 + 2as gives 0 = (55sin28)^2 + 2(-9.81)S
S = 33.98
So height above ground = 33.98 + 7.063 ~ 41.04 m
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