Calculations

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Launcher:

SOLVING FOR TIME IN Y DIRECTION:

 

Δνt+(1/2)gt^2

Δy = 0+(1/2)gt^2

-1.177/((1/2)g) = t^2

sqrt( 1.177/4.9) = t

t= .490

 

SOLVING FOR VELOCITY IN THE X DIRECTION:

 

Average Distance traveled (x-direction): 2.52m

 

V=Δx/Δt

V=2.52/.490

V=5.143 m/s

 

Buggy:

 Average Δt: 4.49s

Δx: 2m

 

V=Δx/Δt

V=2/4.49

V=.445 m/s

 

 

Then, using my theta finding python program, which I will describe in the next page, I just input the initial velocity of the launcher, the desired distance, and the velocity of the buggy. From there, it will tell me the angle at which to set the launcher, the time the launch will take, and the distance that once the buggy reaches to launch the ball.

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