Question #9a06c

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Question #9a06c

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Answer 1 · 2017-11-07T04:33:34

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

Explanation:

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

$x = \frac{range}{2}$ $x = "range"/2$

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

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

$x = 0 or x = 80$ $x = 0 or x = 80$

So

$range = 80 feet$ $"range = 80 feet"$

Max. Height will be achieved at

$x = \frac{80}{2} = 40 feet$ $x = 80/2 = "40 feet"$

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

$h (x) = 20 feet$ $h(x) = "20 feet"$

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Question #9a06c

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