A car is traveling on a straight road with velocity (fsec) 55 ft/sec at time t= 0. For 0sts 18 seconds, the car's acceleration a(t), in ft/sec", is the piecewise (2. 15) 15 (18, 15) linear function defined by the graph above. econds) 10 12 14 f6 18 (a) Is the velocity of the car increasing at t= 2 seconds? Why or why not? (10. -15) (14. -15) (b) At what time in the interval 0 s ts 18, other than t= 0, is the velocity of the car 55 ft/sec? Why? (c) On the time interval 0 st< 18, what is the car's absolute maximum velocity, in ft/sec, and at what time does it occur? Justify your answer. (d) At what times in the interval 0 stS 18, if any, is the car's velocity equal to zero? Justify your answer.
A car is traveling on a straight road with velocity (fsec) 55 ft/sec at time t= 0. For 0sts 18 seconds, the car's acceleration a(t), in ft/sec", is the piecewise (2. 15) 15 (18, 15) linear function defined by the graph above. econds) 10 12 14 f6 18 (a) Is the velocity of the car increasing at t= 2 seconds? Why or why not? (10. -15) (14. -15) (b) At what time in the interval 0 s ts 18, other than t= 0, is the velocity of the car 55 ft/sec? Why? (c) On the time interval 0 st< 18, what is the car's absolute maximum velocity, in ft/sec, and at what time does it occur? Justify your answer. (d) At what times in the interval 0 stS 18, if any, is the car's velocity equal to zero? Justify your answer.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Response Practice
A car is traveling on a straight road with velocity
(fhec)
55 ft/sec at time t = 0. For 0<t< 18 seconds, the
(2, 15)
15
(18. 15)
car's acceleration a(t), in ft/sec', is the piecewise
linear function defined by the graph above.
810 12 146 18
(seconds)
(a) Is the velocity of the car increasing at t = 2
seconds? Why or why not?
(10, -15) (14, -15)
(b) At what time in the interval 0 st s 18, other than t= 0, is the velocity of the car
55 ft/sec? Why?
(c) On the time interval 0sts 18, what is the car's absolute maximum velocity, in ft/sec,
and at what time does it occur? Justify your answer.
(d) At wl
times in the interval 0 <ts18 , if any, is the car's velocity equal to zero? Justify
your answer.
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