A tennis player makes a shot from a height of z = 3.2 m above the ground. The wind exerts a changing force in the y direction, parallel to the ground. This can be simulated as a constant jerk, r = 0 i+ 0.96 j +0 zm.s³. The initial acceleration is ao = 0 i + 0.43 j-g km.s-². Initial speed is 25 m/s in the xz vertical plane at an angle of 8.0 degrees below the horizontal x-axis. Assume air resistance is negligible. a) Write down the initial position and initial velocity vectors (3 marks) b) Find the time of flight 4 marks c) Find the displacement (expressed in vector components) when the ball hits the ground (z = 0) (3 marks) Hint: this is a standard projectile motion problem in the xz plane.