Question: Question B 3. A soccer ball is kicked into the air such that its height, h, in metres, after t seconds can be modelled by

Question B

3. A soccer ball is kicked into the air such that its height, h, in metres, after t seconds can be modelled by the function h(t) =- 4. 9t + 12t + 0.5. a) Determine the average rate of change of the height of the ball from 1 s to 2 s. [3] ABOC= 12 - /2 X2 -x1 h / 1 ) = - 4. 9 (1 ) + 12 ( 1 ) + 0. s h /2) = - 4.912)2+ 12(2) + 0.5 = 4.9 + 12+.5 h (2) = - 4. 9(4)+ 24 +15 h2- h1 1. 9 - 7.6 h(1 - 7.6 h ( 2 ) = 4.9 to- tz 2 - 1 = - 2. 7 b) Estimate the instantaneous rate of change of the height of the ball after 1 s. [2] IROC = flath ) -fla ) ath - 9

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