5.3 You have a spring gun The end of the gun is 1 meter above the ground This gu

Question

5.3 You have a spring gun The end of the gun is 1 meter above the ground This gun is shot horizontally with no air resistance. The cannon ball hits the ground 1.32 meters ahead of the gun. What is the cannon ball's initial velocity? 0,1 gun Apos. 1.32 m 0,0 1.32,0 5.3.1 Collect the data given by the problem (if the data is not given or implied, leave it in blank Final position in the horizontal direction xf Initial position in the horizontal direction xi Final position in the vertical direction yf Initial velocity in the horizontal direction Vxi Final velocity in the horizontal direction Vxf Init al velocity in the vertical direction Vy Final velocity in the vertical direction Vyf

Explanation / Answer

xi = 0 and yi = 1 m

xf = 1.32 m and yf = 0

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vyi will be zero. (as it was shot horizontally)

yf - yi = vyi t + ay t^2 /2

-1 = 0 - 9.8 t^2 /2

t = 0.45s

vxi = 1.32 / 0.456 = 2.92 m/s

vxf = vxi = 2.92 m/s

vyf = 0 - 9.8(0.456) = -4.43 m/s

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Vxi = 2.92 m/s and Vxf = 2.92 m/s

Vyi = 0 and Vyf = -4.43 m/s

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