Answer:
149 feet
Step-by-step explanation:
you have a quadratic equation and you need to fid it's vertex because that is the max height
h(t)= -16t² +96t +5
the x coordinate of the vertex is x= -b/2a for f(x)= ax²+bx+c so in our case
x= [tex]\frac{-96}{2*(-16)}[/tex]= 3 , now we know that the vertex bbelongs to the graph so should verify the equation so we substitute t of the value of x=3 to find y
y= -16*3²+96*3+5= -144+288+5=149
the max height is the coordinate of y because it tels us how much it went up
