Home Cooking 11-25-14: Projectiles n' Stuff

This Home Cooking involves launching a ball off of a ramp and predicting the change in X 

X Velocity

Y Velocity

Screenshot of Video

Our Math:

Voy = 0.451 m/s
Vox = 1.675 m/s
Height of ramp: 0.21 m

Y = Vot + 1/2gt^2
-0.21= 0.451t+1/2(-9.8)t^2
0 = 4.9t^2 + 0.451 - 0.21

USING THE QUADRATIC FORMULA

(time equals -b plus or minus the square root of b^2 - [4ac] all over 2a)

t = 0.25809 seconds

THEN FIND CHANGE IN X

X = (0.25809) * (1.675) =

                                        = 43.23 centimeters or 0.4323 meters


Actual Distance/Error Analysis:

Distance: 58.25 centimeters or 0.5825 meters

When doing this mini-lab, a few errors could have caused our distance (calculations vs. actual) to be off about 15 centimeters. During the analysis of our lab on LoggerPro, our scale may not have been accurate (we used a roll of tape) which may have brought up error in our lab. The ball we used for this lab was also a bit blurry on LoggerPro and, even though we tried to put a point in the middle for each frame, it may also be in accurate. If the angle was pointed towards the right or left (rather than straight), the distance may also be shorter.

WE LOVE PROJECTILE MOTION!
(thank you Yusuf for the help!)