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# HELP! A cannon tilted up at a 35 ∘ angle fires a cannon ball at 81 m/s from atop a 18-m-high fortress wall?

What is the ball's impact speed on the ground below? What is the ball's impact speed on the ground below? PLEASE HELP ASAP!!

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Vx = 81 cos 35 = 66.4 m/s

Vy = 81 sin 35 = 46.5 m/s

from the 18 m, how high does it go vertically

h = v²/2g = 46.5²/2•9.8 = 110.1 m

add 18 to that, total height = 128.1 m

speed after falling 128.1 m

v = √(2gh) = √(2•128.1•9.8) = 50.1 m/s

speed is vector sum horiz. and vert. speeds

v = √(66.4² + 50.1²) = 83.2 m/s

• Height h(t) = ho +Vyo*t - 4.9t² =  18 + 81sin35 *t - 4.9*t² = 0 at t = 9.854s

Vyf = Vyo - g*t = 81*sin35 - 9.8*9.854s = -50.11m/s

Vxf = Vxo = 81*cos35 = 66.35m/s

50.11² + 66.35² = 83.15² at arctan(-50.11/66.35) = -37° = 323°

Impact speed = 83m/s

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