Two cannons, one aimed (left) from horizontal, the other aimed (right) from horizontal, are simultaneously fired toward each other .

a.

In order for the two projectiles to collide, at some point in time the y components of position must be the same. Since the cannons were fired simultaneously, show that this means the y components of their initial velocities must also be equal.

b.

Given what you showed in part a, and that projectiles are fired from the left cannon at 100 m/s, determine the required initial velocity of projectiles fired out of the right cannon for an impact to occur.

c.

If the cannons are 1.3 km apart, when does this impact take place?

d.

Where does it take place? (Give x,y coordinates relative to the left-hand cannon)

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