Only given displacement vector and initial speed, solve for theta

AI Thread Summary
To solve for the angle theta at which a ball is thrown, given an initial speed of 70 m/s and a wall height of 20 m located 100 m away, the horizontal and vertical displacements must be analyzed separately. The horizontal displacement equation is derived from the initial velocity components, leading to the relationship between time and theta. The vertical displacement must also be expressed in terms of theta and time, creating a system of two equations with two unknowns. The challenge lies in isolating time from the horizontal displacement to substitute into the vertical equation. Ultimately, both equations can be solved simultaneously to find the angle theta.
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Homework Statement


A ball is thrown with a speed of 70m/s and hits the top of a wall which is 20m tall and 100m away. Find the angle that the ball was thrown at


Homework Equations


d= V0xt + 1/2 a t^2
a = Vf-V0/t
sin^2(theta) = 1 - cos^2 (theta)

The Attempt at a Solution


I found the initial velocity in terms of theta V= 70cos(theta) x + 70sin(theta) y
the part I'm stuck on is apparently we are supposed to find the time from the horizontal displacement somehow. That i am stuck on because it seems like a i have too many variables and not enough information. any help is appriciated
 
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I think you have all the information you need. You can write separate equations for the x and y displacement in terms of theta and t. This is two equations and two unknowns.
 
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