7. Oliver throws a coin from the open window onto flat horizontal ground in front of...

  

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7. Oliver throws a coin from the open window onto flat horizontal ground in front of his office building. the path of the coin is modelled by the quadratic curve y = 8 + 3x -0.5x², where x represents the horizontal distance the coin is thrown and y represents the height of the coin above the ground. All distances are measured in metres. The wall of the building lies along the y- axis. The coin starts its flight at point A, reaches its maximum height at point B and lands on the ground at point C, as shown in the diagram below. A B C a. State the height in metres from which the coin was thrown. [1 mark] b. Calculate the maximum height above the ground that the coin reaches. [3 marks] c. Find the horizontal distance from the base of the wall to the point at which the coin hits the ground. [2 marks] 7. Oliver throws a coin from the open window onto flat horizontal ground in front of his office building. the path of the coin is modelled by the quadratic curve y = 8 + 3x -0.5x², where x represents the horizontal distance the coin is thrown and y represents the height of the coin above the ground. All distances are measured in metres. The wall of the building lies along the y- axis. The coin starts its flight at point A, reaches its maximum height at point B and lands on the ground at point C, as shown in the diagram below. A B C a. State the height in metres from which the coin was thrown. [1 mark] b. Calculate the maximum height above the ground that the coin reaches. [3 marks] c. Find the horizontal distance from the base of the wall to the point at which the coin hits the ground. [2 marks]