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

Two cars are drag racing, starting from rest at t = 0, on a straight and level road. Team

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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