The motion of a particle is defined by the relation x = t³ – 6t² + 9t + 5, where x is expressed in feet and t in seconds. Determine (a) when the velocity is zero, (b) the position, acceleration, and total distance traveled when t= 5 s. %3!
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- Show the complete solution and the necessary graphs/diagrams. Use 2 decimal places in the final answer. The rotation of the 0.9-m arm OA about O is defined by the relation Eq. (1), where θ is expressed in radians and t in seconds. Collar B slides along the arm in such a way that its distance from O is Eq. (2), where r is expressed in meters and t in seconds. After the arm OA has rotated through 30°, determine the velocity of the collar (m/s).Situation 2: The displacement (in meter) of a particle moving along x - axis is givenby x=At^2 + B , where A = 2m and B = 3m. Calculate average velocity between t =3sand t = 5s.Situation 2: Calculate instantaneous velocity at t = 5sSituation 2: Calculate instantaneous acceleration.1.The location of a certain particle that is only limited to move along a linear direction is given by S = 2t^3 – 24t + 6, such that the unit of s is in meters from an acceptable origin and t is measured in seconds. Solve for the following: -The time needed for that certain particle to attain a velocity of 72 m/s from rest when t = 0. -The acceleration of the particle when it reaches V = 30 m/s -Net displacement in meters from t = 1 second to t = 4 seconds