Can you please help with this problem? A ball is thrown at a1=30 degrees to the

Question

Can you please help with this problem? A ball is thrown at a1=30 degrees to the horizontal with an initial speed of 30 m/s. A second ball is thrown with the same initial speed but at a different angle a2 to the horizontal. Assume a symmetric problem where the landing height is the same as the launch height. (a) Find the horizontal distance x that the rst ball travels. (b) Find angle a2 that will travel the same horizontal distance as the first ball. (c) Find the time that each ball is in the air. (d) Find the maximum height over its launch height that each ball achieves (e) Sketch the trajectories (y as a function of x) of the two balls on the same diagram. Make sure to clearly label the units of each axis

Explanation / Answer

y will all be the same speed as they hit the ground. The acceleration of gravity is what governs this, and it is acting the same on all the balls. That being said, if you threw them all at once they would hit at different times. The ball that is throw upward has to stop traveling up before it can start coming back down, and the ball that is thrown downward already has a "head start" in reaching its final speed. \

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