A race car driver starts her car from rest and accelerates at 11 m/s^2 for the entire distance of 370 m.
(a) Specify the position and velocity functions for the motion of the race car.

(b) How long did it take the race car to travel this distance, and what is its velocity at the end of the run?
 
 
 
 
 

(c) What is the velocity of the race car when it has traveled half the entire distance?
 
 
 
 
 

(d) How far has the race car traveled when its velocity is 75 m/s?
 
 
 
 
 

(e) Label the following Position vs Time graph with all the information found in (b), (c), and (d).