Substitute 70 for v and 32 for g into the function we found in Part A.
C
c
Substitute 77 for v and 32 for g into the function we found in Part A.
A
a
h=v^2/2g
B
b
No, see solution.
C
c
Yes, see solution.
Practice makes perfect
a
We are given a function that models the velocity v of water being pumped into the air.
v=sqrt(2hg)
In this function, h is the maximum height of the water and g is the acceleration due to gravity. We are asked to solve this function for h. Because we have a square root, we will start by squaring both sides of the function.
We are asked if a pump with a velocity of 70 feet per second will propel water 80 feet into the air. Let's first find the maximum height of the water propelled by this pump. Recall that g is 32ft/s^2. Therefore, we will substitute v= 70 and g= 32 into the function we found in Part A.
