The position of a particle is described by r = (t3 + 4t − 4) mm and θ = (t3/2) rad, where t is in seconds. Determine the magnitudes of the particle’s velocity in m/s at the instant t = 2s.

Part A Determine the magnitude of the particle's velocity when t = 4 s Express your answer to three significant figures and include the appropriate units.   Part B Determine the magnitude of the particle's acceleration when t = 4 s Express your answer to three significant figures and include the appropriate units.

The particle travels along the path defined by the parabola y = 0.5x², where x and y are in ft. When t = 0, x = 0, y = 0. (Figure 1) Figure -y = 0.5x² 1 of 1 Part A If the component of velocity along the x axis is vx = (7t) ft/s, where t is in seconds, determine the particle's distance from the origin O when t = 3 s. Express your answer using three significant figures and include the appropriate units. ► View Available Hint(s) Submit Part B a = 0 Value μÁ Submit Determine the magnitude of the particle's acceleration when t = 3 s. Express your answer using three significant figures and include the appropriate units. ► View Available Hint(s) 8 Value Provide Feedback Units μà ? Units Review ? Next >

The motion of a particle moving in a horizontal direction is described by its position x(t). Determine the position, velocity, and acceleration at t=1.5s ifc)  x(t) = 10sin(10t) + 5e5t