(Step-by-Step) An object is travelling left/right along a straight line. Let "right" be the positive direction. At time t=0 minutes, the object is 5 ~m
Question: An object is travelling left/right along a straight line. Let "right" be the positive direction.
At time \(t=0\) minutes, the object is \(5 \mathrm{~m}\) to the right of point \(A\).
At time \(t\) minutes, the velocity of the object is given by \(v(t)=3 t^{2}+6.4 t \mathrm{~m} / \mathrm{min}\).
For the following questions, show all of your work and do not round intermediate calculations. Round your final answer to 2 decimal places if appropriate.
- What is the object's position (relative to point A ) at time $2.5$ minutes?
- At what time is the object's acceleration \(26.7 \mathrm{~m} / \mathrm{min}^{2}\) ?
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