Math CentralQuandaries & Queries


Question from Yen:

The motion of a stone projected upward is given by the relation s=112t - 16t^2.
What are the values of velocity and acceleration when t=3 sec?

Hi Yen,

if the variable $s$ is displacement and $t$ is time, which I expect they are then you know that

\[\frac{ds}{dt} = v(t) \mbox{ and } \frac{dv}{dt} = a(t)\]

where $v(t)$ is velocity at time $t$ and $a(t)$ is the acceleration at tome $t.$


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