SOLUTION: 3. A softball pitcher tosses a ball up into the air as high as possible. The ball has an upward velocity of 40 ft/sec. The function that gives the height (h) of the ball at any tim

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: 3. A softball pitcher tosses a ball up into the air as high as possible. The ball has an upward velocity of 40 ft/sec. The function that gives the height (h) of the ball at any tim      Log On


   

Question 1083486: 3. A softball pitcher tosses a ball up into the air as high as possible. The ball has an upward velocity of 40 ft/sec. The function that gives the height (h) of the ball at any time (t) is: h(t)= –16t2 + 40t + 1.5. Find the maximum height the ball flew in the air before it returned to the ground and graph the function.
a) Maximum height:______________________
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b) Graph the function:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Maximum height is the vertex, and the t value is -b/2a, which is -40/-(32)=1.25 seconds.
h(1.25)=-16(1.5625)+40(1.25)+1.5
=-25+50+1.5=26.25 feet.
graph%28300%2C300%2C-10%2C10%2C-10%2C50%2C-16x%5E2%2B40x%2B1.5%29