Perfect+Shot

**__Data__**
===We first measured to see how high my regular jump is and came out with 11inches. Next, we measured my total height with hands raised, which was 93inches. We added the vertical to the height and got 104inches. We converted it to meters and got 2.62m. Then we drew a triangle to find out the distance from the peak of the ball to the hoop.===

===To find the length of x another triangle was needed. The distance from the 3 point line is 19.90ft in highschool regulation. The height of the hoop is 10ft so we subtracted 10 from 8.6 to find to get 1.4ft. We then used pythagorean theorem to solve for x. The distance from the ball to the hoop was 19.95ft.===

The video

===According to the graph, the total hangtime it took to reach to hoop was 1.23 seconds (final time - initial time). We found out the slope of X and Y and then we used that to find the initial velocity. We pluged the information into our triangle and solved for the hypotenuse ( X in the picture). The initial velocity in this experiment was 8.46m/s.===



__**Conclusion**__
===In this experiment, we tested to find the initial velocity of the ball. The initial velocity was 8.46m/s. According to our graph the total amount of time the ball was in the air was 1.23 seconds. The initial velocity in the X direction was 4.64m/s. It had constant increase in slope of 4.64m/s. In the Y direction our slope was 7.07m/s and the graph was not constant because the velocity of the ball changed. The acceleration of the ball decreased and once it hit the peak of its height, its acceleration increased again. We used this information to find the initial velocity by doing 4.64^2+7.07^2=x^2 and found x to be 8.46m/s. This answer seems reasonable because the amount of force applied on the ball makes for the ball to travel at a higher velocity. There was small source of error due to air resistence. Air resistence and the gravity is only force acting on the ball after the release. Another small source error would be that we were not exactly on the 3 point line but a couple inches back. These errors did not effect our result significantly. If the initial velocity at that distance were to stay constant, the perfect shot would be obtained.===