Catapult Lab Combined

# Catapult Lab Combined - Procedure We measured the height at...

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Procedure We measured the height at which the projectile was fired, which is D y.We then measured the horizontal distance between catapult arm position one and position two. We then adjusted our rubberbands and fired the catapult so that it would fire the ball a distance of 5.0 meters. Analysis Determination of Θ : Using the two values of D y and h, we calculated the angle Θ by using the equation : ArcTan B -D y h F = Θ ArcTan B - H - 0.431 L m 0.571 m F = 37.0 ° Determination of V 0 : Using equations H 1 L D x = V 0 Cos @ Θ D t H 2 L D y = V 0 Sin @ Θ D t - 1 2 g ± t 2 Elimination of t yields the equation : H 3 L D x = V 0 2 Cos @ Θ D Sin @ Θ D + V 0 2 Cos @ Θ D 2 - 2 g ± D y + V 0 2 Sin @ Θ D 2 g ± Solving for V 0 yields the equation : V 0 = D x Sec @ Θ D g ± 2 D x Sin @ Θ D - 2 D y Cos @ Θ D V 0 = H 5.00 m L Sec A 37.0 ° E J 9.81 m s 2 N 2 H 5.00 m L Sin A 37.0 ° E - 2 H - 0.431 m L Cos A 37.0 ° E V 0 = 6.77 m s

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Data Delta y (meters) Delta x (meters) Theta (degrees) Horizontal Length (meters) -0.431 5.00 37.0 0.571
D y Position 1 Position 2 Horizontal Distance

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The Derivation of V 0 1 x V 0 Cos
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Catapult Lab Combined - Procedure We measured the height at...

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