- 2 Suppose That The Position Of A Particle Is R T Cos Nt Sin Nt T 0 T 2n A Calculate The Velocity And 1 (26.75 KiB) Viewed 22 times
2. Suppose that the position of a particle is r(t) = (cos(nt), ² sin(nt), t), 0 ≤ t ≤ 2n. A. Calculate the velocity and
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2. Suppose that the position of a particle is r(t) = (cos(nt), ² sin(nt), t), 0 ≤ t ≤ 2n. A. Calculate the velocity and
2. Suppose that the position of a particle is r(t) = (cos(nt), ² sin(nt), t), 0 ≤ t ≤ 2n. A. Calculate the velocity and acceleration vectors for any time t. B. Find the vector equation of a line tangent to r(t) at t = ²/ C. Determine whether the angle between the velocity and acceleration vectors at t = is acute, obtuse, or π/2. D. Calculate the speed of a particle with position function F(t) at t = E. Calculate the rate of change of the trajectory of the particle's path at t = !