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) = if 15 st<35 %3D 30 100- 2t t2 35 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 30 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= 70?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
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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 15 st< 35
100 2t t2 35
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 30 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= 70?
O A. t=0
O B. 0sts30
OC. t= 100
D. 15sts35
When is the velocity zero?
O A. 0sts30
B. t=50
C. t 0, t 50
O D. 15sts 35
O E. t 0
b. The distance traveled by the automobile in the first 30 s is
m.
(Simplify your answer.)
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 15 st< 35 100 2t t2 35 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 30 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= 70? O A. t=0 O B. 0sts30 OC. t= 100 D. 15sts35 When is the velocity zero? O A. 0sts30 B. t=50 C. t 0, t 50 O D. 15sts 35 O E. t 0 b. The distance traveled by the automobile in the first 30 s is m. (Simplify your answer.)
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