The ball hits the ground at 0 seconds or 2.5 seconds.
h represents the height of the golf ball after x seconds. The height is given by:
h(x)=-4.8x(x-2.5)
h(x) = -4.8x² + 12x
The time taken for the ball to reach the ground is at h(x) = 0, hence:
0 = -4.8x² + 12x
4.8x² - 12x = 0
x(4.8x - 12) = 0
hence x = 0; or 4.8x - 12 = 0
x = 0; or x = 2.5
Therefore the ball hits the ground at 0 seconds or 2.5 seconds.
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