- #1
Darth Frodo
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Homework Statement
A stone is thrown with a velocity [itex]v_{0}[/itex] at an angle [itex]\alpha[/itex] to the horizontal (see image) from a step of height H. Calculate the x coordinate [itex]x_{1}[/itex] of the point where the stone hits the ground.
Homework Equations
[itex]x(t) = u_{x}t + x_{0}[/itex]
[itex]y(t) = u_{y}t + \frac{1}{2}at^{2} + y_{0}[/itex]
The Attempt at a Solution
[itex]u_{x} = v_{0}cos(\alpha)[/itex]
[itex]u_{y} = -v_{0}sin(\alpha)[/itex]
[itex]x_{1} = u_{x}t_{1}[/itex]
[itex]x_{1} = v_{0}cos(\alpha)t_{1}[/itex]
[itex]y(t) = 0 @ t_{1}[/itex]
[itex]0 = -v_{0}sin(\alpha)t_{1} - \frac{g}{2}(t_{1})^2 + H[/itex]
Here is where I have a discrepency with the provided (Bare Bones) Solution.
According to the solution; [itex]0 = v_{0}sin(\alpha)t_{1} - \frac{g}{2}(t_{1})^2 + H[/itex]
This seems to be missing the "-" in front of the 0 = [itex]v_{0}sin(\alpha)t_{1}[/itex] term.
My question is am I correct?