The path of a baseball after it is hit is modelled by the equation h=-4

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The path of a baseball after it is hit is modelled by the equation h=-4.98t²+12.51t+1.36, where h is the height, in metres, of the ball and t is the time, in seconds, after the ball is hit.

 

a.  Find the maximum height that the ball reaches, to the nearest hundredth of a metre.

b.  Determine the height of the ball, to the nearest hundredth of a metre, at 2.5 seconds.

c.  Determine when the ball is at a height of 8 m, to the nearest hundredth of a second.

d.  State the y-intercept of the graph to the nearest hundredth. Describe what the y-intercept represents in the context of this question.

e. i. Find the coordinates of both x-intercepts of the graph to the nearest hundredth.

ii.  State what the positive x-intercept represents in the context of this problem.

iii.  Explain why the negative x-intercept is not valid in the context of this problem.