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A particle is moving according to the given data v(t)=t^2 - sqrt(t), x(0) = 0, 0...

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Basic Math

A particle is moving according to the given data

v(t)=t^2 - sqrt(t), x(0) = 0, 0 ≤ t ≤ 4.

• Find x(t), the position of the particle at time t.
• For what values of t is the particle moving to the left? To theright?

• Find the displacement of the particle.
• Find the total distance covered by the particle.

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