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romanna [79]
3 years ago
7

A projectile is fired from a cliff feet above the water at an inclination of​ 45° to the​ horizontal, with a muzzle velocity of

feet per second. The height h of the projectile above the water is given by
where x is the horizontal distance of the projectile from the face of the cliff. Use this information to answer the following.
​(a) At what horizontal distance from the face of the cliff is the height of the projectile a​ maximum?

​(Simplify your​ answer.)
​(b) Find the maximum height of the projectile.

​(Simplify your​ answer.)
​(c) At what horizontal distance from the face of the cliff will the projectile strike the​ water?

​(d) Using a graphing​ utility, graph the function​ h, Which of the following shows the graph of​ h(x)?
In all​ graphs, the window is by
A.



A coordinate system has a horizontal axis labeled from 0 to 230 in increments of 20 and a vertical axis labeled from 0 to 260 in increments of 50. From left to right, a curve starts at (0, 180), rises to a maximum at (74, 230), and then falls to (230, 10). All coordinates are approximate.
B.



A coordinate system has a horizontal axis labeled from 0 to 230 in increments of 20 and a vertical axis labeled from 0 to 260 in increments of 50. From left to right, a curve starts at (0, 210), rises to a maximum at (40, 230), and then falls to (176, 0). All coordinates are approximate.
C.



A coordinate system has a horizontal axis labeled from 0 to 230 in increments of 20 and a vertical axis labeled from 0 to 260 in increments of 50. From left to right, a curve starts at (0, 210), rises to a maximum at (56, 240), and then falls to (220, 0). All coordinates are approximate.
D.



A coordinate system has a horizontal axis labeled from 0 to 230 in increments of 20 and a vertical axis labeled from 0 to 260 in increments of 50. From left to right, a curve starts at (0, 240), rises to a maximum at (28, 245), and then falls to (194, 0). All coordinates are approximate.
​(e) When the height of the projectile is 100 feet above the​ water, how far is it from the​ cliff?
Mathematics
1 answer:
Anastasy [175]3 years ago
4 0

Answer:

$170 Feet

Step-by-step explanation:

It is very long process

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Step-by-step explanation:

First, we must convert 40 miles per hour (mph) to miles per minute (mpm):

40 mph = 40 miles/hour / 60 minutes/hour = 0.6667 miles per minute

Next, we convert miles per minute to feet per minute by multiplying 5280 ft per mile:

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