Question

In: Math

1. Two cars are moving on a road and both start at the same place at...

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]

Solutions

Expert Solution

milcah answered 1 year ago
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