Homework Help: physics

Posted by Anonymous on Tuesday, January 1, 2013 at 1:38pm.

A spy in a speed boat is being chased down a river by government officials in a faster craft. Just as the officials' boat pulls up next to the spy's boat, both reach the edge of a 4.2 m waterfall. If the spy's speed is 20 m/s and the officials' speed is 24 m/s, how far apart will the two vessels be when they land below the waterfall?

physics - Henry, Wednesday, January 2, 2013 at 8:11pm
h = Vo*t + 0.5g*t^2 = 4.2 m.
20t + 4.9t^2 = 4.2
4.9t^2 + 20t - 4.2 = 0
Use Quad. formula.
t1 = 0.200 s. = The spy's time.

24t + 4.9t^2 -4.2 = 0
4.9t^2 + 24t - 4.2 = 0
t2 = 0.169 s. = Gov. officials' time.

t1-t2 = 0.200 - 0.169 = 0.031 s. apart.

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