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A cyclist rides for 6 hours. Her speed v(t) in km per… | StemPy Lab
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A cyclist rides for 6 hours. Her speed v(t) in km per hour is a continuous function of the time t in hours, and she covers 30 km in all. Which statement must be true?
Mathematics
Medium
High School (11–12)
Functions and Calculus › Application of Integrals
A-Level
AP
IB
Created by
StemPy Lab
A cyclist rides for
6
6
6
hours. Her speed
v
(
t
)
v(t)
v
(
t
)
in km per hour is a continuous function of the time
t
t
t
in hours, and she covers
30
30
30
km in all. Which statement must be true?
Her speed is below
5
km/h
5\ \text{km/h}
5
km/h
for the whole ride
At some instant her speed is
30
km/h
30\ \text{km/h}
30
km/h
At some instant her speed is exactly
5
km/h
5\ \text{km/h}
5
km/h
At every instant her speed is
5
km/h
5\ \text{km/h}
5
km/h
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