Will not let me input sin/cos functions raised to a power. What other forms can I write the derivatives in with respect to the option buttons given? (14%) Problem 1: The motion of a particle is given by x-A sin\"(at) 33% Part (a) What is the amplitude of the particle\'s motion? 33% Part (b) what is the expression for the particle\'s velocity, v? VE cos( ) cos(wt) cos(?) cos(0) sn( sin(ot) sin(?) sin(0) 78 9 HOME 0 END VO Submit Hint I give up! Hints: 1%-deduction per hint. Hints remaining: Feedback: 0% deduction per feedback 33% Part (c) What is the expression for the particle\'s acceleration, a? Solution The derivative with respect to time is given by dx/dt = (d/dt)(Asin 3 wt)=3Awsin 2 wtcoswt sin 2 wt can be written as (1-cos2wt)/2 Therefore,the derivative can be written as 3Aw(1-cos2wt)*coswt/2 = 1.5(Awcoswt - Awcos2wtcoswt) .