2000010801

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Project ID: 
2000010801
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0
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0
Easy: 
1
Consider non-uniform motion of an object whose position as a function of time is given by \[ s=12t-\frac12 t^2, \] where time \(t\) is measured in seconds and position \(s\) is measured in meters. Find the instantaneous velocity of the object at \(8\) seconds. (Hint: Instantaneous velocity can be expressed as the derivative of position function with respect to time: \(v(t)=\frac{\mathrm{d}s}{\mathrm{d}t}\).)
\( 4 \,\mathrm{m}/\mathrm{s}\)
\( 64\, \mathrm{m}/\mathrm{s}\)
\( 8\,\mathrm{m}/\mathrm{s}\)
The object will be at rest at this moment (\( v=0\, \mathrm{m}/\mathrm{s}\)).