The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = (8)/(t^2) where t is measured in seconds. Find the velocity (in m/s) of the particle at times t = a, t = 1, t = 2, and t = 3. t = a
Added by Victoria A.
Step 1
So, we have: v(t) = \frac{d}{dt}(s) = \frac{d}{dt}\left(\frac{8}{t^2}\right) Now, we can use the power rule for differentiation: v(t) = -\frac{16}{t^3} Now, we can find the velocity at the given times: Show more…
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The displacement (in meters) of a particle moving in a straight line is given by the equation of motion $ s = 1/t^2 $, where $ t $ is measured in seconds. Find the velocity of the particle at times $ t = a $, $ t = 1 $, $ t = 2 $, and $ t = 3 $.
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