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August 31, 2014

August 31, 2014

Posted by **Abi** on Wednesday, February 9, 2011 at 10:00pm.

Alpha's car produces acceleration

ax = alpha t^(-1/2) ;

while Team Beta's car produces acceleration

ax = Beta ;

for all t > 0, where alpha and beta are positive constants with suitable units.

a. Which car grabs the early lead? Justify answer.

b. If the race goes on long enough, the other car will overtake the early leader. Find

an expression for the distance x at which this will occur, in terms of the constants alpha

and Beta.

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