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h(t)=-4.9t^(2)+12 t+0.5 The function models h, the height of a soccer ball in meters t seconds after it is kicked. About what is the height, in meters, of the soccer ball 2.3 seconds after it is kicked? Choose 1 answer: (A) 1.7 (B) 2.2 (C) 4.9 (D) 16.8

h(t)=−4.9t2+12t+0.5 h(t)=-4.9 t^{2}+12 t+0.5 \newlineThe function models h h , the height of a soccer ball in meters t t seconds after it is kicked. About what is the height, in meters, of the soccer ball 22.33 seconds after it is kicked?\newlineChoose 11 answer:\newline(A) 11.77\newline(B) 22.22\newline(C) 44.99\newline(D) 1616.88

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Q. h(t)=−4.9t2+12t+0.5 h(t)=-4.9 t^{2}+12 t+0.5 \newlineThe function models h h , the height of a soccer ball in meters t t seconds after it is kicked. About what is the height, in meters, of the soccer ball 22.33 seconds after it is kicked?\newlineChoose 11 answer:\newline(A) 11.77\newline(B) 22.22\newline(C) 44.99\newline(D) 1616.88
  1. Substitute t=2.3t = 2.3: To find the height of the soccer ball at t=2.3t = 2.3 seconds, we need to substitute t=2.3t = 2.3 into the given function h(t)=−4.9t2+12t+0.5h(t) = -4.9t^2 + 12t + 0.5.
  2. Calculate square of 22.33: Substitute t=2.3t = 2.3 into the function:\newlineh(2.3)=−4.9(2.3)2+12(2.3)+0.5h(2.3) = -4.9(2.3)^2 + 12(2.3) + 0.5
  3. Multiply −4.9-4.9 by 5.295.29: Calculate the square of 2.32.3:\newline(2.3)2=5.29(2.3)^2 = 5.29
  4. Multiply 1212 by 2.32.3: Multiply −4.9-4.9 by 5.295.29:−4.9×5.29=−25.921-4.9 \times 5.29 = -25.921
  5. Add results and 0.50.5: Multiply 1212 by 2.32.3:12×2.3=27.612 \times 2.3 = 27.6
  6. Calculate the sum: Add the results of the previous steps and add 0.50.5: h(2.3)=−25.921+27.6+0.5h(2.3) = -25.921 + 27.6 + 0.5
  7. Round to one decimal: Calculate the sum: h(2.3)=1.679h(2.3) = 1.679
  8. Round to one decimal: Calculate the sum:\newlineh(2.3)=1.679h(2.3) = 1.679Round the result to one decimal place to match the answer choices:\newlineh(2.3)≈1.7h(2.3) \approx 1.7

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