In: Math
1. Two cars are moving on a road and both start at the same place at time ?=0. The velocity of car number 1 is given by ?1(?)=sin?+1 and the velocity of car number 2 is given by ?2(?)=cos?+1.
a. Which car is ahead at ?=?2 ,?=?,?=3?? [3 marks] b. Write down a definite integral which gives the total distance traveled by car number 1 from ?=0 to ?=10. [3 marks]
b. Write down a definite integral which gives the total distance traveled by car number 1 from ?=0 to ?=10. [3 marks]
c. Are the cars ever at the same place on the road at the same time? If so, at what times? [3 marks]
d. What is the maximum distance between the cars? [3 marks]