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8-16. At time t = 0, a vehicle located at posi- tion x = 0 is moving at a velocity of 10 m/s. The velocity of the vehicle for the next 8 s is shown in Fig. P8.16. (a) Knowing that a(t) = acceleration a(t). dv = sketch the dt dx (b) Knowing that v(t) = x, sketch the position x(t) if the maximum posi- tion is x = 30 m and the final posi- tion is x = 10 m.

8-16. At time t = 0, a vehicle located at posi- tion x = 0 is moving at a velocity of 10 m/s. The velocity of the vehicle for the next 8 s is shown in Fig. P8.16. (a) Knowing that a(t) = acceleration a(t). dv = sketch the dt dx (b) Knowing that v(t) = x, sketch the position x(t) if the maximum posi- tion is x = 30 m and the final posi- tion is x = 10 m.

Calculus: Early Transcendentals
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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8-16. At time t = 0, a vehicle located at posi- tion x = 0 is moving at a velocity of 10 m/s. The velocity of the vehicle for the next 8 s is shown in Fig. P8.16. dv (a) Knowing that a(t) = dr, sketch the acceleration a(t). dt dx dt (b) Knowing that v(t) = 4, sketch the position x(t) if the maximum posi- tion is x = 30 m and the final posi- tion is x = 10 m. 1 도 0 Fi
Transcribed Image Text:8-16. At time t = 0, a vehicle located at posi- tion x = 0 is moving at a velocity of 10 m/s. The velocity of the vehicle for the next 8 s is shown in Fig. P8.16. dv (a) Knowing that a(t) = dr, sketch the acceleration a(t). dt dx dt (b) Knowing that v(t) = 4, sketch the position x(t) if the maximum posi- tion is x = 30 m and the final posi- tion is x = 10 m. 1 도 0 Fi
D- te ty at a c) v(r), m/s 10 0 -10 0 2 x(1) Problems 273 Figure P8.16 Velocity of a vehicle for problem P8-16.
Transcribed Image Text:D- te ty at a c) v(r), m/s 10 0 -10 0 2 x(1) Problems 273 Figure P8.16 Velocity of a vehicle for problem P8-16.
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