Question 4 A particle moves along the xamis with its position at time t denoted by p(t). The red line in the diagram below connects the point on the unit circle directly above the particle with the rightmost point on the ccaris intersecting the circle. What is the rate of change of the area shaded in red 7 known as a segment of the circle with respect to time when the particle is halfway between the centre of the circle and its perimeter and is moving at velocity v? Your solution must erplain each of the steps of your argument. (Hint: You may have to use implicit differentiation. If you think you need to use inverse trigonometric functions you are heading in the wrong direction.)