During the worst 4-hr period of a hurricane the wind velocity, in miles per hour, is given by v(t)= 5t - t^2+100, 0<t<4 The average wind velocity during this time period (in mph) is

Question

During the worst 4-hr period of a hurricane the wind velocity, in miles per hour, is given by v(t)= 5t - t²+100, 0<t<4 The average wind velocity during this time period (in mph) is

(A) 10

(B) 100

(C) 102

(D) 204 2/3

(E) 108 2/3(A) 10(B) 100(C) 102(D) 21043(E) 21083

Answer 1

at time t=0, v= 100 mph

at time t=4, v = 20-16+100 = 104

(100+104)/2 = 102 mph

C is correct, 102