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Cars A and B are set to race along parallel straight lanes of a highway. Let sB(t): and sA(t) 5t2 + 40t, t 2 0, be the position functions of cars B and A from the timekeeper, respectively (here, t is in seconds and s is in ft). 10t +20 a. How far is car B ahead of car A before the start of the race? b. At what instant of time do they have the same velocity? Which car has travelled the longer distance at this instant?

Cars A and B are set to race along parallel straight lanes of a highway. Let sB(t): and sA(t) 5t2 + 40t, t 2 0, be the position functions of cars B and A from the timekeeper, respectively (here, t is in seconds and s is in ft). 10t +20 a. How far is car B ahead of car A before the start of the race? b. At what instant of time do they have the same velocity? Which car has travelled the longer distance at this instant?

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.1: Relations And Functions
Problem 67PS: The height of a projectile fired vertically into the air neglecting air resistance at an initial...
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Cars A and B are set to race along parallel straight lanes of a highway. Let sB(t) = 15t2 +10t +20 and sa(t) = 5t + 40t, t > 0, be the position functions of cars B and A from the timekeeper, respectively (here, t is in seconds and s is in ft). a. How far is car B ahead of car A before the start of the race? b. At what instant of time do they have the same velocity? Which car has travelled the longer distance at this instant?
Transcribed Image Text:Cars A and B are set to race along parallel straight lanes of a highway. Let sB(t) = 15t2 +10t +20 and sa(t) = 5t + 40t, t > 0, be the position functions of cars B and A from the timekeeper, respectively (here, t is in seconds and s is in ft). a. How far is car B ahead of car A before the start of the race? b. At what instant of time do they have the same velocity? Which car has travelled the longer distance at this instant?
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