projectile motion/ Half projectile motion (falling from height with horizontal veloc)

George302

1. The problem statement, all variables and given/known data
Design projectile motion simulation and produce the max height, inital and final velocity, range, and time of flight. must use digital or photographic tech to record events and assist in the experiment>

Okay so ive designed a half projectile motion simulation. A ramp placed on at a height of 88cm. Ramps measurements being 49.5, 49.5 and 70 CM. A 45 degree angled ramp.
a ball is rolled down it at different heights to adjust the speed but just for understandings sake its being rolled at 70cm (max velocity for this exp)
using the video to time the balls flight from the the falling from the ramp and off the horiztonal piece thats been extended. The result is 0.434 seconds and the distance from the base of the falling point is 89 cm.


2. Relevant equations
So from here i need to find the inital +final (same) velocities, the max height, and the angle needed to create this from the ground point.

Time (0.868s ?) and distance (1.78m ?) are already discovered by doubling recorded results (half projectile motion) and height is also established by the nature of the exp. (0.88m ?)


3. The attempt at a solution
So for initial and final velocity
Ux = T x *change in X*
Ux = 0.434 x 0.89
Ux = 0.38626 ms -1

???

and to find the angle im pretty stumped.. i don't really know where to start from =|

Delphi51

I would take this to mean making a computer program or spreadsheet calculations. Are you sure you are supposed to be shooting a real ball?

I am unclear on the apparatus. Are you shooting the ball horizontally? If so, what is the initial height when the ball flies horizontally? What does "rolled at 70cm" mean? If it is supposed to be 70 cm/s, how did you calculate that?

Rotational energy will have a very significant effect here. Do you know how to calculate rotational kinetic energy?