New school year I forgot how to Algebra! Help me to remember!!

A ball is thrown into the air with an upward velocity of 28 ft/s. Its height (h) in feet after t seconds is given by the function h = -16t^2 + 28t + 7. How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Round to the nearest hundredth, if necessary.

Question

New school year I forgot how to Algebra! Help me to remember!!

A ball is thrown into the air with an upward velocity of 28 ft/s. Its height (h)  in feet after t  seconds is given by the function h = -16t^2 + 28t + 7. How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Round to the nearest hundredth, if necessary.

mrnebula · Answer

Don't give me the answer! TEACH ME!

welshfella · Answer

Are you famiilar with finding the derivative of a function?

mrnebula · Answer

No, if that's how you solve this, I might remember.

welshfella · Answer

ok well you can solve it by finding the vertex of the parabola . The raph is a parabola with a maximum value which corresponds to maximum height of the ball

welshfella · Answer

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