The speed of a car at time t (in seconds) is given by a piecewise function V(t) (in m/s) as shown below. Determine the total distance, d, travelled by the car from t = 0 seconds to t = 32 seconds. V (m/s) 32 32 24 16 мии V(t) 24- sin 3t√t, if 0≤t≤4, 18 if 4≤t≤22, 2 3(t-22) 24e 8 t if 22 ≤t≤32.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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The speed of a car at time t (in seconds) is given by a piecewise function V(t) (in
m/s) as shown below. Determine the total distance, d, travelled by the car from t = 0
seconds to t = 32 seconds.
V (m/s)
32
3t√t,
if 0 ≤t ≤4,
24
ти
18
V(t) =
sin.
if 4 <t≤ 22,
3(t-22)
16
8
0
·00
8
12
16
20
24e
8
"
if 22 ≤t≤32.
t(s)
24
24
28
32
Transcribed Image Text:Question The speed of a car at time t (in seconds) is given by a piecewise function V(t) (in m/s) as shown below. Determine the total distance, d, travelled by the car from t = 0 seconds to t = 32 seconds. V (m/s) 32 3t√t, if 0 ≤t ≤4, 24 ти 18 V(t) = sin. if 4 <t≤ 22, 3(t-22) 16 8 0 ·00 8 12 16 20 24e 8 " if 22 ≤t≤32. t(s) 24 24 28 32
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