If r(t) is the position vector of a particle in the plane at time t, find the indicated vector. Find the acceleration vector. r(t) = (cos 3t)i + (2 sin t)j O a = (-9 cos 3t)i + (-2 sin t)j %3D O a = (-3 cos 3t)i + (2 sin t)j a = (9 cos 3t)i + (-2 sin t)j O a = (-9 cos 3t)i + (-4 sin t)j

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Q: Ans. (5) Given position vector r(t) = (t₁ t - sint, 1- cast) ⇒ r (t) = ti + (t-sint) 3 + (1 - cost)…

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A: Given vector function is, r(t)=3cost i+4sint j

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A: Solution by using formulaes :

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A: To calculate the velocity and acceleration vectors, and speed for .