R(x)=2√x s(x)=√x (rs)(4) = and (r/s)(3)=
1 answer:
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Answer:
5.625 inches
Step-by-step explanation:
Given that:
Total Rainfall in inches (P) = 8 inches
The runoff volume (in inches) Q = ???
The curve number CN = 80
Recall that: The runoff volume can be calculated by using the formula:
for P > 0.2S
Q = 0 for P < 0.2S
where:
curve number CN = 80
S = 2.5 inches
Since the rainfall (P) is greater than 0.25
Then:
Q = 5.625 inches
Thus, the runoff volume = 5.625 inches
For this case we have the following equation:
Where,
t: time
v: initial speed
s: initial height
Substituting values we have:
By the time the ball hits the ground we have:
From here, we clear the value of time:
Using the quadratic equation we have:
Doing the calculations we have:
Discarding the negative root, we have that the time is:
Answer:
it takes the ball to hit the floor about:
1.15 seconds
This is the answer if that helps.
