## Stone thrown using calculus

Limits, differentiation, related rates, integration, trig integrals, etc.
amberzak
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### Stone thrown using calculus

This question is expected to be solved using calculus. I think it might be a maximum problem:

A stone is thrown vertically upward and after t seconds its height y meters above its starting point is given by y=100t-5t^2. Calculate the greatest height reached by the stone, and the value of t when this happens.

Where do I even start?

FWT
Posts: 153
Joined: Sat Feb 28, 2009 8:53 pm

### Re: Stone thrown using calculus

Where do I even start?
If you don't know calculus you can do this with algebra. They show how here.
This question is expected to be solved using calculus. I think it might be a maximum problem:

A stone is thrown vertically upward and after t seconds its height y meters above its starting point is given by y=100t-5t^2. Calculate the greatest height reached by the stone, and the value of t when this happens.
Yeh. Any time they want the max or the min it's a max-min problem. Do the vertex just like you always do for parabolas.

amberzak
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### Re: Stone thrown using calculus

I can do it with mechanics, but I have to solve it with calculus as it's for the calculus module.

Can you just give me the starting point. Where do I begin? What's the equation I have to differentiate?

stapel_eliz
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Where do I begin? What's the equation I have to differentiate?
They gave you an equation for "height", and asked you to find the max/min point of the height. So use the methodology you learned in class for finding max/min point of the height.

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