SOLUTION: Chris shoots an arrow up into the air. The height of the arrow is given by the function h(t) = - 16t^2 + 64t + 22 where t is the time in seconds. What is the maximum height of the

Algebra ->  Finance -> SOLUTION: Chris shoots an arrow up into the air. The height of the arrow is given by the function h(t) = - 16t^2 + 64t + 22 where t is the time in seconds. What is the maximum height of the       Log On


   

Question 1124834: Chris shoots an arrow up into the air. The height of the arrow is given by the function h(t) = - 16t^2 + 64t + 22 where t is the time in seconds. What is the maximum height of the arrow?
The maximum height is feet.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The x-value of the vertex ( height ) is
given by the formula +x%5Bmax%5D+=+-b%2F%28+2a+%29+
when the form is +y+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+
For your equation:
+a+=+-16+
+b+=+64+
+t%5Bmax%5D+=+-64%2F%28+2%2A%28-16%29%29+
+t%5Bmax%5D+=+2+
Now find +h%5Bmax%5D+
+h%5Bmax%5D+=+-16%2A2%5E2+%2B+64%2A2+%2B+22+
+h%5Bmax%5D+=+-64+%2B+128+%2B+22+
+h%5Bmax%5D+=+86+
86 ft is the max height
覧覧覧覧覧覧-
Here痴 the plot
+graph%28+400%2C400%2C+-1%2C+10%2C+-10%2C+100%2C+-16x%5E2+%2B+64x+%2B+22+%29+