Finding initial velocity and theta, given range and height

  • Thread starter Seri
  • Start date
  • #1

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:

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
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. :/

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