Two go-carts, A and B, race each other around a 1.0 track. Go-cart A travels at a constant speed of 20.0 /. Go-cart B accelerates uniformly from rest at a rate of 0.333 / ଶ . Which go-cart wins the race and by how much time?

Complete Question

Q. Two go-carts, A and B, race each other around a 1.0km track. Go-cart A travels at a constant speed of 20m/s. Go-cart B accelerates uniformly from rest at a rate of 0.333m/s^2. Which go-cart wins the race and by how much time?

Go-cart A is faster

Explanation:

From the question we are told that

       The length of the track is

       The speed of  A is  

       The uniform acceleration of  B is  

  Generally the time taken by go-cart  A is mathematically represented as

=>          

=>          

  Generally from kinematic equation we can evaluate the time taken by go-cart B as

given that go-cart B starts from rest  u =  0 m/s

So

=>                    

=>          

Comparing    we see that is smaller so go-cart A is  faster

answer: good job it's all correct !

explanation: