Sunday, 19 November 2017

homework and exercises - Calculating angle of projectile motion



I realize that similar questions have been asked but I'd like to put my problem here and what I have to make sure everything is right.



So my problem is: I've got a rock $2.5$ meters above the ground and I shoot it out of a slingshot. It hits another rock which is $3.6$ meters above the ground, $14$ meters away from it's initial position $x$. The initial velocity of the rock is $15.9$ m/s.


So the formula I know is: $ \frac{1}{2} \cdot g \cdot t^2 - (v_o \cdot \sin ( \theta ) ) + y $


I also know: $x = (v_o \cdot \cos ( \theta ) ) \cdot t$


But these don't seem to help me solve my problem as I don't have $t$ nor $ \theta$.




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