The displacement of a particle is given by s 2t3 - 30f2 + 100t – 50, where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 12 seconds of motion. Determine the time at which the velocity is zero.

The position of a particle is given by: x (t) = 16t3.0t³ where x is in meters, and time is in seconds. The particle is momentarily at rest at what time (in seconds)?

The velocity of a particle traveling in a straight line is given by v = (6t – 3t2) m/s, where t is in seconds. Suppose thats = 0 when t = 0 Part B Determine the particle's position when t = 3.7 s Express your answer to three significant figures and include the appropriate units. s = -9.58 m Submit Previous Answers Correct Part C How far has the particle traveled during the 3.7-s time interval? Express your answer to three significant figures and include the appropriate units. µA ? ST = 9.58 m Submit Previous Answers Request Answer