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MATHEMATICS - CASE STUDY

    Introduction



Tony's Cart

 

Tony is a driver of the Fastpass cart in the animal kingdom section of Funworld. He needs to drive the cart at a constant speed so that the customer can see the animals clearly. Before the cart reaches the constant speed, its velocity varies.

What is known:

  • The cart starts from rest.
  • The velocity varies as a function of time,
    v = 2500 t2/3 mile/hour
    where t is in hours.
  • The final constant speed of the cart is 10 mile/hour.
     
    Questions

 

 

How long does it take the cart to reach the required speed?

     
    Approach


 

When the velocity is positive, the function of speed is a one-to-one function.