University:
Missouri State University
Course:
MTH 136 | Precalculus 1
Academic year:

2019
Views:

453

Pages:

2
Author:

Triston Franco

CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part A Tlose-45 minutes Number of problems-3 A graphing calenlator is required for same problems or parts of problems, 0.3 11.2 0.1 0 -0.1 -02 3 A 56 7 9 10 11 12 1. Caren rides her bicycle along a straight road from home to school, starting at home at time I = emptyset minutes and wrriving at school at time 12 minutes. During the rinse interval 0 <= 1 <= 12 minutes, har velocity (7), in miles per minute, is modeled by the plecewise-linear function whose graph is showa above. (a) Find the acceleration of Caren's bicycle at time I= mathcal LS minutes. Indicate units of measure. (b) Using correct maits, explain the meaning of integrate |v(t)| dt from 0 to 12 in terms of Caren's rip. Find the value of integrate |v(t)| dt from 0 to Omega (c) Stuntly after leaving home, Caren realizes she left hor calculis homework at home, and she returns to get it. At what time does she turn around to go back home? Give a reason for your answer. (d) Larry also rides his bieyele along a straight rood from home to school in 12 minutes. His velocity is modeled by the function w given by u(t)= pi/15 * sin(pi/12 * t) where w(t) in milles per minute for 0 <= 1 <= 12 minutes. Who lives closer to school: Show the work that leads to your answer. FR @ah.5)-V'(7.5) = √(8) - V(7) 2-3 8-7 -0.1 mib = So Iv(t)dt represents the total distance 12 trouelled, in miles, that Caren trowelled during Ost≤12 minutes (distance = (2)(12)+½(2)(2)+0+½ (.3+.2) (3) (3) (2)+2(02) F1.8miles +2 Since the velocity changed from positive to negatue Careri's distance = S IV(t)idt. =(1)(3)+(1)(3)+(2+3) (1)+(12)(3)+(12)(1) 15t+,3+ 25+.65.1-11.4 mileg (2)(1) Larry's distance So² M/s Sin (t) 1 dt = Libmiles) 12 Caren lives close