Ballistic Fragmentation

A massive body is initially at rest at $$(x,y) = (0m,7m)$$. The body explodes and fragments into two equal masses such that both $$x$$ and $$y$$ momentum are conserved.

One fragment flies leftward and impacts a target at $$(x,y) = (-2m,5m)$$. The other fragment flies rightward and impacts a target at $$(x,y) = (12m,0m)$$.

With respect to the horizontal, what is the launch angle of the rightward fragment?

Details and Assumptions:

• Give your answer in degrees, to 1 decimal place
• The ambient gravitational acceleration is $$10 m/s^2$$ downward
• Note that "leftward" and "rightward" should not be understood as indicating purely horizontal motion
• In this problem, the $$x$$ direction is horizontal and the $$y$$ direction is vertical.
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