Question 268714
Suppose Charlie O’Brian of the Braves hits a
baseball straight upward at 150 ft/sec from a height of 5 ft.
a) Use the formula to determine how long it takes the ball
to return to the earth.
h(t) = -16t^2 + 150t + 5 (I had to provide my own formula)
h = 0
-16t^2 + 150t + 5 = 0
*[invoke solve_quadratic_equation -16,150,5]
-------------
t =~ 9.408 seconds (Ignore the negative value)
-----------------------------------
b) Use the accompanying graph to estimate the maximum
height reached by the ball
h(t) = -16t^2 + 150t + 5
I don't see a graph, so I'll use the equation
The max height is at the vertex, when t = -b/2a
t = -150/-32 = 75/16 seconds
h(75/16) =~ 356.5625 feet = max height