Question

A referee moves along a straight path on the side of an athletic field. The velocity of the referee is given by v(t) = 4(1-6)cos (21+5), where is measured in minutes and v(t) is measured in meters per minute.
What is the total distance traveled by the referee, in meters, from time 1 = 2 to time 1 = 6 ?

(A) 3.933

(B) 14.578

(C) 21.667

(D) 29.156

Answer 1

Answer:

(A). 3.93

Step-by-step explanation:

You need to find the following integral

${\displaystyle \int\limits_{2}^{6} 4(t-6)\cos(2t+5) \, dt } = 3.93$

Therefore the answer is (A). 3.93