Find when is penny at its highest point


Assume we are standing on top of the 300ft tower and we are holding the shiny new penny. We don't hurl it down, for that would be wrong. We toss it up at the velocity of 10 feet per second, and then when it comes down, it occurs to go off edge of tower, plummeting to ground below.

At th time t seconds after toss, velocity is provided by v(t)=-32t+10. Distance from sidewalk, in feet, is provided by p(t)=-16t2+10t+300.

1. At what time is penny's velocity zero?

2. When is penny at its highest point?

3. Find maximum height achieved by penny?

4. How long is penny in the air?

5. How fast is it going when it hits ground?

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Mathematics: Find when is penny at its highest point
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