5. Let sA = 15t2 + 10t + 20 and sp = 5t + 40t, t 2 0, be the position functions of cars A and B, respectively, that are moving along parallel straight lanes of a highway (here, t is in minutes and s is in feet). a. How far is car A ahead of car B when t 0? b. At what instant of time do they have the same velocity? Which car is ahead at this instant?
5. Let sA = 15t2 + 10t + 20 and sp = 5t + 40t, t 2 0, be the position functions of cars A and B, respectively, that are moving along parallel straight lanes of a highway (here, t is in minutes and s is in feet). a. How far is car A ahead of car B when t 0? b. At what instant of time do they have the same velocity? Which car is ahead at this instant?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:5. Let sa = 15t2 + 10t + 20 and sp = 5t + 40t, t 2 0, be the position functions of cars A and B,
respectively, that are moving along parallel straight lanes of a highway (here, t is in minutes and
s is in feet).
a. How far is car A ahead of car B when t 0?
b. At what instant of time do they have the same velocity? Which car is ahead at this instant?
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