`v(t) = 1.5sqrt(t), s(4) = 10` A particle is moving with the given data. Find the position of the particle.

Textbook Question

Chapter 4, 4.9 - Problem 60 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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Borys Shumyatskiy | College Teacher | (Level 3) Associate Educator

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As I understand we have to find s(t).


where C is any constant.

Also is given that s(4)=10, so `4^(3/2)+C=10,` `C=10-4^(3/2)=10-2^3=2.`

The answer: `s(t)=t^(3/2)+2.`

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