SOLUTION: You are playing tennis with a friend. The path of the tennis ball after you return a server can be modeled by the function y = -.005 +.17x +3, where x is the horizontal distance (i

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: You are playing tennis with a friend. The path of the tennis ball after you return a server can be modeled by the function y = -.005 +.17x +3, where x is the horizontal distance (i      Log On


   

Question 1073967: You are playing tennis with a friend. The path of the tennis ball after you return a server can be modeled by the function y = -.005 +.17x +3, where x is the horizontal distance (in feet) from where you hit the ball and y is the height (in feet) of the ball.

What is the maximum height of the tennis ball?
You are standing 30 feet from the net, which is 3 feet high. Will the ball clear the net?
Explain
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The equation looks wrong
Is it +y+=+-.005x%5E2+%2B+.17x+%2B+3+ ?
If so, then:
The x-value at maximum height is
+x%5Bv%5D+=+-b%2F%282a%29+ where
+a+=+-.005
+b+=+.17+
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+x%5Bv%5D+=+-b%2F%282a%29+
+x%5Bv%5D+=+-.17%2F%282%2A%28-.005%29%29+
+x%5Bv%5D+=+17+
and
+y+=+-.005x%5E2+%2B+.17x+%2B+3+
+y%5Bv%5D+=+-.005%2A17%5E2+%2B+.17%2A17+%2B+3+
+y%5Bv%5D+=+-1.445+%2B+2.89+%2B+3+
+y%5Bv%5D+=+4.445+
The maximum height of the ball is 4.445 ft
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At +x+=+30+
+y+=+-.005x%5E2+%2B+.17x+%2B+3+
+y%2830%29+=+-.005%2A30%5E2+%2B+.17%2A30+%2B+3+
+y%2830%29+=+-4.5+%2B+5.1+%2B+3+
+y%2830%29+=+3.6+
The ball will clear the net by +3.6+-+3+=+.6+
feet which is +.6%2A12+=+7.2+ inches