Question

Question #9a06c

Answer 1

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"`