SOLUTION: 1)Suppose that Q is jointly proportional to R and the Square of S. If Q=24 when R=3 and S=4. Find Q when R=2 and S=3. 2)When and anvil is dropped into a gorge, the speed with wh

Question 314084: 1)Suppose that Q is jointly proportional to R and the Square of S. If Q=24 when R=3 and S=4. Find Q when R=2 and S=3.
2)When and anvil is dropped into a gorge, the speed with which it strikes the ground is directly proportional to the square root of the distance it falls. An anvil that falls 400 feet hits the ground at a speed of 160 feet per second. Find the height of a cliff over the gorge is a dropped anvil hits the ground ata speed of 128 feet per second.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
1)Suppose that Q is jointly proportional to R and the Square of S.
Q:(R*S^2)
;
If Q=24 when R=3 and S=4. Find Q when R=2 and S=3.
=
=
Q = 9
:
:
2)When and anvil is dropped into a gorge, the speed with which it strikes the
ground is directly proportional to the square root of the distance it falls.
s:
An anvil that falls 400 feet hits the ground at a speed of 160 feet per second.
Find the height of a cliff over the gorge is a dropped anvil hits the ground at a speed of 128 feet per second.
let h = height of the cliff
A ratio equation
=
same as
=
Cross multiply
= 20 * 128
= 2560
=
= 16
Square both sides
h = 16^2
h = 256 ft
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