Given a displacement Vector F(t)= (2.50 m)1 + (0.25 m/s³)t³ (6.00 m/s)tk Find the displacement, Keep Vector Notation the instantaneous velocity, and the instantaneous acceleration at time = 3.00 sec

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Given a displacement Vector F(t)= (2.50 m)i + (0.25 m/s³)t³ĵ- (6.00 m/s)tk
Find the displacement,
Keep Vector Notation
the instantaneous velocity, and
the instantaneous acceleration at time = 3.00 sec
Transcribed Image Text:Given a displacement Vector F(t)= (2.50 m)i + (0.25 m/s³)t³ĵ- (6.00 m/s)tk Find the displacement, Keep Vector Notation the instantaneous velocity, and the instantaneous acceleration at time = 3.00 sec
Expert Solution
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The displacement is given by, r(t)=2.5i^+0.25t3j^-6tk^. Where r is in meter and t is in sec.

Instantaneous velocity is given by, v(t)=dr(t)dt and instantaneous acceleration is given by, a(t)=dv(t)dt.

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