Differentiate the function. y=(4x-2)3(4-x5)4 dx || The position of a particle moving along a coordinate line is s = 17 +4t, with s in meters and t in seconds. Find the rate of change of the particle's position at t 2 sec. The rate of change of the particle's position at t = 2 sec is 5 m/sec. (Type an integer or a simplified fraction.) The height of a ball t seconds after it is thrown from the top of a building is given by Find its height, velocity, and acceleration 4 seconds H(t) = 16t + 57t + 155. after it is thrown from the building. The ball's height after 4 seconds is ft. The ball's velocity after 4 seconds is ft sec The ball's acceleration after 4 seconds is ft sec 2