SOLUTION: An astronaut on the moon tosses a ball upwards; by how much will the height of the ball exeed 100 feet if the ball's height follows: h(t)= -2.6t(second power) +32.1t+5.5

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: An astronaut on the moon tosses a ball upwards; by how much will the height of the ball exeed 100 feet if the ball's height follows: h(t)= -2.6t(second power) +32.1t+5.5      Log On


   

Question 150603: An astronaut on the moon tosses a ball upwards; by how much will the height of the ball exeed 100 feet if the ball's height follows:
h(t)= -2.6t(second power) +32.1t+5.5
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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 = %28-b%29%2F%282a%29
a=-2.6; b=32.1
t = %28-32.1%29%2F%282%2A-2.6%29
t = %28-32.1%29%2F%28-5.2%29
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