Finding initial velocity and theta, given range and height

  • Thread starter Seri
  • Start date
  • #1
6
0

Homework Statement



A stone is thrown down a slope. I am given the Range of the slope and the max height from spot thrown.
R= 50m
h= 12m

Homework Equations



I need to determine the magnitude of Vo and inital theta.

The Attempt at a Solution



First I need to find V_o:
I feel that the only relevant portion to find the initial velocity is from the spot thrown to the max height where V_yo is 0. I broke up the components of velocity so that:
V_xo=vcos(theta)
V_yo=vsin(theta)

However, I'm lost after this because I don't know t. My first idea was to find t, but I was having problems finding an equation that doesn't use v, theta, in a time equation.
My second idea was to find an equation that avoids time such as v_y^2=V_yo^2-g(y-yo).

I haven't attempted the initial theta part yet.
 

Answers and Replies

  • #2
6
0
Reading through this post, this morning, I realized I forgot to add that the slope has a rise of 30m and a run of 40m. I don't feel that would help with find V_o though. :/
 

Related Threads on Finding initial velocity and theta, given range and height

Replies
0
Views
2K
Replies
4
Views
852
Replies
8
Views
6K
Replies
2
Views
3K
Replies
4
Views
16K
Replies
1
Views
5K
Replies
2
Views
2K
Replies
1
Views
9K
Replies
0
Views
10K
Top