a) A male tennis player stands 6 feet 8 inches (6'8") tall in tennis shoes. When holding his arms outstretched in the horizontal plane, the centre of his hands are 6'8" apart, his shoulder height is 5'8" from the ground and his shoulders are 1'7" apart. As he lunges to serve, he raises his body a further 3" off the ground. A tennis racquet is 2'3" in length. It is assumed that the sweet spot is 1'7" from the base of the handle and the player's hand grips the bottom 4" of the racquet handle. If the player and racquet are at maximum vertical extent when hitting the ball, what is the overall height of the struck ball if it hits the sweet spot perfectly? (Marks Breakdown: find height of struck ball [2 marks], workings shown [3]) b) A tennis court is defined as having a length of 78', widths of 27' & 36' for a singles court and a doubles court respectively, a service box length of 21' and a net height 3' all the way across the court. The player serves striking the ball at a position vertically above the baseline and at a horizontal position 12' from the side line of the singles court to the opposite service area and is called in. The ball landing position is directly on the corner of the cross court service area line and the singles court sideline. Calculate the straight line distance from the ball strike position and landing position. What is the vertical distance between the ball and net cord as the ball passes over the net cord? If the ball trajectory follows this straight line (simplistic zero gravity case) and assuming the diameter of the tennis ball is as per the standard at 6.7cm, does the ball make it over the net without hitting the net cord?