Three cars, A, B, and C, start from rest and accelerate along a line according to the

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Three cars, A, B, and C, start from rest and accelerate along a line according to the following velocity functions:

8812 8812 88t and vc(t) VA(1) t + l’ VB(t) = (t + 1)²’ t? + 1

a. Which car travels farthest on the interval 0 ≤ t ≤ 1?

b. Which car travels farthest on the interval 0 ≤ t ≤ 5?

c. Find the position functions for each car assuming that each car starts at the origin.

d. Which car ultimately gains the lead and remains in front?

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Related Book For  answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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