Hi. I need help with question 1. 2.a) and 2.b). Thank you.

Two children are playing on the swings in the Friendly neighbourhood park. A. claim is made by a student that the swing can be modeled by Forced harmonic motion [i.e. simple harmonic motion that is being pushed}. Using this model, the horizontal position P oF the swing relative to center of the swing structure is given by: P = Afro} -ocer[wt]l where t is time {in seconds], or is the frequency [in radians per second] at which the swing is pushed, and the direction the children are Facing is the positive direction. Also, A is the amplitude [in meters] oF the swing, as a Function of or: M = L BEErug} In summary, at time t and with a pushing Frequency of or, the horizontal distance oF the swing From the centre line, is given by P = Artur} eoaiwt}. 1. Find E. At pushing Frequency or = 1 is this derivative positive, negative, or zero, and what do this indicate physically? 2. Now suppose or is mnstant. dP dP [all Find E and FE . What do these derivatives reprent? arP rile (b) Evaluate E and F fort = 33" and or = 1. Use your answers to determine whether the swing is speeding up or slowing down, and in which direction