Elaine shoots an arrow upward at a speed of 32 feet per second from a bridge that is 28 feet high. The height of the arrow is given by the function h(t) = -16t2+32t + 28, where t is the time in seconds. a. What is the maximum height that the arrow reaches? b. How long does it take the arrow to reach its maximum height? c. How long would it take before the arrow reached the ground? Round your answer to the hundredths place.

Question

Elaine shoots an arrow upward at a speed of 32 feet per second from a bridge that is 28 feet high. The height of the arrow is given by the function h(t) = -16t2+32t + 28, where t is the time in seconds.  a. What is the maximum height that the arrow reaches? b. How long does it take the arrow to reach its maximum height? c. How long would it take before the arrow reached the ground? Round your answer to the hundredths place.

anonymous · Answer

|dw:1406765300618:dw|  The arrow reaches its max height when the tangent line to the function is as attached. Thus it reaches its max height when  the slope of the tangent line is 0

anonymous · Answer

so what are the answers, this doesnt help much sorry

anonymous · Answer

Do you know how to figure the slope of the tangent line shown above?

anonymous · Answer

no

anonymous · Answer

It is the derivative of the function. So what is the derivative of -16t^2+32t+28?

anonymous · Answer

i dont even know that

anonymous · Answer

Are you studying derivatives?

anonymous · Answer

sorry gotta go