Two racecars start a race at the same place and finish the race in a perfect tie. Prove there was at least one moment during the race when both cars were going at exactly the same speed. (HINT: Let f(t) represent the location of the first car at time t, and let g(t) represent the location of the second car at time t. Let h(t) think the function h(t) merits some serious consideration.) f(t) – g(t). I

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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7. Two racecars start a race at the same place and finish the race in a perfect tie. Prove
there was at least one moment during the race when both cars were going at exactly
the same speed. (HINT: Let f(t) represent the location of the first car at time t, and
let g(t) represent the location of the second car at time t. Let h(t) = f(t) – g(t). I
think the function h(t) merits some serious consideration.)
Transcribed Image Text:7. Two racecars start a race at the same place and finish the race in a perfect tie. Prove there was at least one moment during the race when both cars were going at exactly the same speed. (HINT: Let f(t) represent the location of the first car at time t, and let g(t) represent the location of the second car at time t. Let h(t) = f(t) – g(t). I think the function h(t) merits some serious consideration.)
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