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# Problem: Two cars, an Acura and a Bentley, are initially at rest a distance L from each other. At time t = 0 both cars starts accelerating toward each other with constant acceleration aA and aB respectively. a) At what time does the crash happen? b) Find the distance traveled by the Bentley before the two cars crash into each other. c) What is the relative speed of the Bentley, with respect to the Acura, just before the crash? Write your results in terms of L, a A, and aB. Remember to check the dimensions/units for each answer.

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###### Problem Details

Two cars, an Acura and a Bentley, are initially at rest a distance L from each other. At time t = 0 both cars starts accelerating toward each other with constant acceleration aA and arespectively.

a) At what time does the crash happen?

b) Find the distance traveled by the Bentley before the two cars crash into each other.

c) What is the relative speed of the Bentley, with respect to the Acura, just before the crash?

Write your results in terms of L, a A, and aB. Remember to check the dimensions/units for each answer.

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Catch/Overtake Problems concept. You can view video lessons to learn Catch/Overtake Problems. Or if you need more Catch/Overtake Problems practice, you can also practice Catch/Overtake Problems practice problems.

How long does this problem take to solve?

Our expert Physics tutor, Jeffery took 9 minutes and 42 seconds to solve this problem. You can follow their steps in the video explanation above.