Question

Help please! need answer now

A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in feet after t seconds is given by the function h= -16t^2 + 112t +30 How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary.

Answer 1

You need to find the vertex of the function.

The easiest way to do this is to graph it on a calculator like desmos.

but you can find the line of symmetry with this equation. x=-b/2a

x=-112/2(-16)
x= 3.5

Then plug that into the equation.

-16(3.5)^2+112(3.5)+30

226

226ft is the maximum height.