The velocity of a (fast) automobile on a straight highway is given by the function to the right, where t is measured in seconds and v has units of m/s. 2t if 0st< 15 v(t) = { 30 if 15st< 35 100 - 2t t235 a. Graph the velocity function for 0sts 100. When is the velocity a maximum? When is the velocity zero? b. What is the distance traveled by the automobile in the first 20 s? c. What is the distance traveled by the automobile in the first 50 s? d. What is the position of the automobile when t= 60? ..... When is the velocity zero? A. 15 sts35 B. t= 0 C. t= 50 D. Osts30 E. t= 0, t= 50 b. The distance traveled by the automobile in the first 20 s is m (Simplify your answer.)
The velocity of a (fast) automobile on a straight highway is given by the function to the right, where t is measured in seconds and v has units of m/s. 2t if 0st< 15 v(t) = { 30 if 15st< 35 100 - 2t t235 a. Graph the velocity function for 0sts 100. When is the velocity a maximum? When is the velocity zero? b. What is the distance traveled by the automobile in the first 20 s? c. What is the distance traveled by the automobile in the first 50 s? d. What is the position of the automobile when t= 60? ..... When is the velocity zero? A. 15 sts35 B. t= 0 C. t= 50 D. Osts30 E. t= 0, t= 50 b. The distance traveled by the automobile in the first 20 s is m (Simplify 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:The velocity of a (fast) automobile on a straight highway is given by the function to the
right, where t is measured in seconds and v has units of m/s.
2t
if 0 st< 15
v(t) = { 30
if 15st< 35
100 – 2t t235
a. Graph the velocity function for 0<ts 100. When is the velocity a maximum? When is the velocity zero?
b. What is the distance traveled by the automobile in the first 20 s?
c. What is the distance traveled by the automobile in the first 50 s?
d. What is the position of the automobile whent= 60?
When is the velocity zero?
A. 15 <ts 35
O B. t=0
C. t= 50
D. Osts30
E. t= 0, t= 50
b. The distance traveled by the automobile in the first 20 s is
m.
(Simplify your answer.)
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