Question 150603
An astronaut on the moon tosses a ball upwards; by how much will the height of the ball exceed 100 feet if the ball's height follows:
:
h(t)= -2.6t^2 + 32.1t + 5.5
:
Find the axis of symmetry x = {{{(-b)/(2a)}}}
a=-2.6; b=32.1
t = {{{(-32.1)/(2*-2.6)}}}
t = {{{(-32.1)/(-5.2)}}}
t = +6.173 sec
:
Find the vertex (max)
h(t) = -2.6(6.173^2) + 32.1(6.173) + 5.5
h(t) = -2.6(38.106) + 198.153 + 5.5
h(t) = -99.075 + 198.153 + 5.5
h(t) = +104.578 ft
:
Exceeds 100 ft by 4.578 ft