A particle moves in the xy−plane, so that its coordinates at time t≥0 are x(t)=3t3−3t2, y(t)=20t2+2t where x,y are in meters, t in seconds. Find the magnitude of the particle’s acceleration at t=2s.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 51E
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A particle moves in the xy−plane, so that its coordinates at time t≥0 are x(t)=3t3−3t2, y(t)=20t2+2t where x,y are in meters, t in seconds. Find the magnitude of the particle’s acceleration at t=2s.

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