3 A student is planning to investigate a golf ball trajectory when being launch to the air usinga slingshot. He kno...
3 A student is planning to investigate a golf ball trajectory when being launch to the air usinga slingshot. He knows that objects in free-fall always follow a parabolic path. He then sets a camera to capture the image of the travelling golf ball The camera managed to capture three images however none of these images recorded the point the golf ball reaches its maximum altitude. Fortunately, from these photos he managed to determine the trajectory of the golf ball and he plotted it as in Figure1 12 10 (10,6) 16 10 12 14 Horizontal Distance (m) Figure 1: The location of the golf ball from the pictures Given that any parabola equatons yAx2 + Bx + C, where x and y are the horizontal and vertical coordinates of the parabola. Using the Gaussian elimination method, find the coordinate of the highest altitude of the golf ball. Note that-vertex: ( b, f (2) [30 marks]
3 A student is planning to investigate a golf ball trajectory when being launch to the air usinga slingshot. He knows that objects in free-fall always follow a parabolic path. He then sets a camera to capture the image of the travelling golf ball The camera managed to capture three images however none of these images recorded the point the golf ball reaches its maximum altitude. Fortunately, from these photos he managed to determine the trajectory of the golf ball and he plotted it as in Figure1 12 10 (10,6) 16 10 12 14 Horizontal Distance (m) Figure 1: The location of the golf ball from the pictures Given that any parabola equatons yAx2 + Bx + C, where x and y are the horizontal and vertical coordinates of the parabola. Using the Gaussian elimination method, find the coordinate of the highest altitude of the golf ball. Note that-vertex: ( b, f (2) [30 marks]