S = 2πrh + 2πr², for h
1 answer:
Answer:
Step-by-step explanation:
This is a literal equation, and for some reason, students literally freak out about solving them. We will isolate h the same way we would if we were solving an equation for x. In order to get the term with the h in it all by itself, we have to move everything else away from that term. The 2πr² is added on the left, so we will move it by subtracting it from both sides, giving us
Then we need to get the h alone. Everything on the right side of the equals sign is multiplied together, so the "undoing" of multiplication is division, so that's what we'll do. Divide everything away from the h:
which is choice C.
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Answer:
The golfball launched with an initial velocity of 200ft/s will travel the maximum possible distance which is 1250 ft when it is hit at an angle of .
Step-by-step explanation:
The formula from the maximum distance of a projectile with initial height h=0, is:
Where is the initial velocity.
In the closed interval method, the first step is to find the values of the function in the critical points in the interval which is . The critical points of the function are those who make
:
The critical value inside the interval is .
The second step is to find the values of the function at the endpoints of the interval:
The biggest value of f is gived by , therefore
is the absolute maximum.
In the context of the problem, the golfball launched with an initial velocity of 200ft/s will travel the maximum possible distance which is 1250 ft when it is hit at an angle of .