Question

Question 8 The velocity equations valt), vb(t), vc(t), and up(t) in (km/hr) of four cars A, B, C, and D, respectively are moving along a straight line and given by, VA(T) = arctan(81) UB(l) = In(91) vo(t) = e-71 Up(l) = V8 +12 Which of these cars travelled further during the time interval (12,14] (A) Car A (B) Car B. (C) Car C (D) Car D Your answer

Answer 1

Sam Traveled distance by car A . 14 3.12 [3.12 km] I arcton (8t) dt km 12 distance by car B Traveled 14 14 Svo (Aldt Ś In 19+) 14 In (126) – 12 tn (108)-2 =9.52 km] 12 12 38 km Traveled distance by car e 14. I'Velt) dt = ( ēt at km s l2.72 x 10 4.72 12 distance by car Traveled D 126.61 km = I 8+ 4² dt Volt) dt 12 12 Therefore (car D is travelled (12,14] & further during the time interval. traveled distance = 26.61 km sol ® re 1 - y = x For concavity then first find the inflection point and set er 0 x =0 to day be at 4 en zo since (x=0 is a point of inflection. So function is concave down on :(-oo, o) since f(x) is negative. function is concave up on : (0,00) since of "(x) is positive. docz