The position of a given particle as a function of time is given by r = (9.60t i + 8.85 j - 1.00t ² k)
. Determine the velocity and acceleration of the particle as a function of time. b) What is the average velocity of the particle in Problem a) between t = 1.0 s and t = 3.0 s? What is the instantaneous velocity t = 2.0 s? c) What is the shape of the particle trajectory in Problem a),
draw.
(a) v(t) = dr/dt = 9.6i - 2tk
a(t) = -2k
(b) (v(3)-v(1))/(3-1) = ____
v(2) = ____
(c) a twisted parabola