Question 2. Ball (9 marks) A ball is kicked (without spinning) at 20 m s" at an angle of 30 above the horizontal, from a height of 15 m above the ground. a. Write a vector equation for the position (r) of the ball as a function of time. Indicate your coordinate system on a sketch of the ball's trajectory (otherwise your answer can't be assessed!). (2) b. Use your equation to find the position of the ball (in terms of your coordinate system) at t = 2.5 s. (2) c. Att = 2.5 s, how high is the ball above the ground? (2) d. Find the speed of the ball just before it touches the ground. (3) Question 3 Ball (10 marks) A ball is kicked and leaves the player's foot at t = 0 with an initial velocity of 25 m s" at an angle of 40 to the horizontal. a. Write a vector equation for the velocity of the ball as a function of time. (2) b. Use your equation to find the velocity of the ball at t = 2.0 s. (2) c. How long does it take the ball to reach its maximum height? (3) d. Derive an expression for finding the speed of the ball when it is at a height h above its initial position. (3)