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## Homework Statement

King Arthur's knights fire a cannon from the top of the castle wall. The cannonball is fired at a speed of 45m/s and an angle of 32degrees . A cannonball that was accidentally dropped hits the moat below in 1.4s .

a) How far from the castle wall does the cannonball hit the ground?

b) What is the ball's maximum height above the ground?

## Homework Equations

Unsure what to use.

## The Attempt at a Solution

xi = ti = 0

vi = 45 m/s

vix = 45cos32 = 38.16

viy = 45sin32 = 23.85

ax = 0

ay = -9.8 m/s

yf = 0

yi = 1/2 (-9.8m/s^2)(1.4s)^2 = 9.6 m

horizontal v 45cos32 = 38.16

initial v 45sin32 = 23.85

time of fall 2.43 seconds

57.86/9.8 = root of 5.9

= 2.43 + 2.43

= 4.86

= 185.4576m

max height

1/2(9.8) x 2.43^2 = 28.93 m