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Solved: Two cars start 200 m apart and drive toward each
Chapter 2, Problem 72P(choose chapter or problem)
Problem 72P
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?
Questions & Answers
QUESTION:
Problem 72P
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?
ANSWER:
Solution 72P
The geosphere never stops moving,it traveling at 15 m/s for however long it takes the cars to collide.the cars will each travel 100 m and hit each other.
To travel 100 m,it takes a car moving at 10 m/s a time.
time=distance/velocity=(100 m)/(10 m/s)=10.0 s
Total distance does the grasshopper travel before the cars hit
distance=velocity*time=15 m/s*10=150 m.