Find the velocity, acceleration, and speed of a particle with the given position function. r (t) = t i + t^2 j + 2 k v (t) = a (t) = |v (t)| = Sketch the path of the particle and draw the velocity and acceleration vectors for t = 1.

Solution – Nelocityis the rate of changc ofposition

Ancleaian is the ratr of chan dt dt dt dt Speed is the mamitudeof velacity Skefch is en as bele,

4トz -4 -2 -2

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