Question #9a06c

1 Answer

Maximum height will be achieved when the #x# will be half of horizontal range i.e. #"40 feet"#. The maximum height will be equal to #"20 feet"#.

Explanation:

In a parabolic path of a projectile motion, the max. height is achieved when

#x = "range"/2#

Now, to find the range, we can use the given equation. The value of #h(x)# should be #0# for two values of #x#, one for the initial point and other for the final point.

Putting #h(x) = 0#, we get

#x = 0 or x = 80#

So

#"range = 80 feet"#

Max. Height will be achieved at

#x = 80/2 = "40 feet"#

Putting #x = 40# in the equation, we get

#h(x) = "20 feet"#