# Physics Homework MKII

Oct 10th, 2015
201
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1. local tArgs = {...}
2. VelocityInitial = 8.9
3.
4. function GetHoopHeight(theta, Vi)
5.
6.     --set initial values
7.     Vi = Vi or VelocityInitial
9.     Viy = Vi*math.sin(theta)
10.     Vix = Vi*math.cos(theta)
11.
12.     --figure out how much time it will take the ball to move 4 meters
13.     airTime = 4/Vix
14.
15.     --figure out how high the ball will be at this time
16.     deltaY = Viy*airTime + -4.905*airTime^2 + 1
17.
19.     return deltaY
20. end
21.
22. function GetBucketDistance(theta, Vi)
23.
24.     --set initial values
25.     Vi = Vi or VelocityInitial
27.     Viy = Vi*math.sin(theta)
28.     Vix = Vi*math.cos(theta)
29.
30.     --use the quadratic formula to figure out the function zeros for time in air
31.     quad1 = (-Viy + math.sqrt(Viy^2 + 19.62))/-9.81
32.     quad2 = (-Viy - math.sqrt(Viy^2 + 19.62))/-9.81
33.
34.     --discern which zero is relevant (only one is positive, that's the one required)
36.
37.     --figure out how far the ball will go before hitting the ground
38.     deltaX = Vix*airTime
39.