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## Homework Statement

Two cars start 200 m apart and drive toward each other at a steady 10 m/s. On the front of one of them, an energetic grasshopper jumps back and forth between the cars (he has strong legs!) with a constant horizontal velocity of 15 m/s relative to the ground. The insect jumps the instant he lands, so he spends no time resting on either car. What total distance does the grasshopper travel before the cars hit?

## Homework Equations

[tex]\Delta[/tex]x =vt

## The Attempt at a Solution

Answer: [tex]\Delta[/tex]X (grasshopper) = 15t and 100 = 10t then t = 10s so the answer is [tex]\Delta[/tex]X (grasshopper) = 15*10 =150 m.

But I have another question. How many times does the grasshopper jump from one car to another before the collision? ( I don’t know how to solve it, please help me what to do).