Are there any different ways to solve this problem? I don't see any, but I'm sure that there are. And I think knowing a bunch of different methods for the same problem would only be beneficial.
Wait what? When do we have to determine the launch speed? We have to determine the rebound speed after it travels 3 m. Here, I'll show you my solution. Can you look over it and see if everything's in order?
Vix=Δx/Δt
Viy/tan50°=3/Δt
Viy=3tan50°/Δt (1)
Δy=ViyΔt + 1/2aΔt2
-1.1=ViyΔt - 4.9Δt2...
It tells me to find the ball's rebound speed. But since we're assuming that the collisions are perfectly elastic, isn't the speed of the the ball right before it lands the same as the rebound speed?
I don't see what you mean. Plug it back into what equations? The final answer is the final velocity of the ball, but all the equations deal with initial velocity.
Ok I do that. So I get
Vix=Δx/t
Vix=3/t
Δy=ViyΔt + 1/2aΔt
-1.1=ViyΔt -4.9Δt^2
...And then I don't know what to do.
EDIT: OH! If I let Vix=Viysin15°, I now get
Viysin15=3/t
And now I have two equations and two unknowns. I can now solve for Viy right, find Vix, use pythagorean threorem, and...
Homework Statement
A rubber ball is dropped onto a ramp that is tilted at 20°. A bouncing ball obeys the "law of reflection" which says that the ball leaves the surface at the angle it approached the surface. The ball's next bounce is 3 m to the right of its first bounce. What is the ball's...