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tagrico
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edit: meant to put rates of change as the title, not related rates.
A particle moves on a vertical line so that its coordinates at time t is s(t) = 4t^3 - 12t^2 +7, where t≥0
a) when is the particle moving upward and when is it moving downward
b) find the total distance that the particle travels in the time interval 0≤t≤ 3
so I'm pretty sure I would take the derivative to find the velocity function, but how do I find out when it's moving upward and when it is moving downward? positive = upward and negative = downward?
Homework Statement
A particle moves on a vertical line so that its coordinates at time t is s(t) = 4t^3 - 12t^2 +7, where t≥0
a) when is the particle moving upward and when is it moving downward
b) find the total distance that the particle travels in the time interval 0≤t≤ 3
The Attempt at a Solution
so I'm pretty sure I would take the derivative to find the velocity function, but how do I find out when it's moving upward and when it is moving downward? positive = upward and negative = downward?