5t2 + 40t, t > 0, be the position functions of cars A and B, 5. Let sA = 15t2 + 10t + 20 and sB = 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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Topic: Differentiation of Functions of a Single Variable
Solve the following COMPLETELÝ.
5. Let sA =
15t2 + 10t + 20 and sB =
5t2 + 40t, t > 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?
Transcribed Image Text:Topic: Differentiation of Functions of a Single Variable Solve the following COMPLETELÝ. 5. Let sA = 15t2 + 10t + 20 and sB = 5t2 + 40t, t > 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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