#1: A particle starts at the origin (x_i = 0) at time t = 0. Once it begins moving, the position of the particle as a function of time is given by: x(t) = (2.2 m/s) t + (-2.6 m/s^2) t^2 + (-1.4 m/s^3) t^3 1. Find the particle's velocity as a function of time, v(t). 2. Find the particle's initial velocity, v_i, the velocity of the particle at time t = 0. 3. Find the particle's acceleration as a function of time, a(t). 4. Find the time that the particle reverses direction. (Hint: note that the function above only describes the motion for t > 0). 5. Find the location where the particle reverses direction. 6. Include a graph of the particles position, velocity, and acceleration as a function of time.
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Find the particle's velocity as a function of time, v(t) v(0) = 2.2 mls/s v(1) = -2.6 m/s2 v(2) = -1.4 m/s? v(3) = ? Show more…
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