The motion of a particle along a straight line is described by the function s=6+4t^(2)-t^(2) in SI units. Find the velocity, acceleration, at t=2s, and the average velocity during 3rd second.

The motion of a particle along a straight line is described by the fun

1.	The motion of a particle along a straight line is described by the function s=6+4t^(2)-t^(2) in SI units. Find the velocity, acceleration, at t=2s, and the average velocity during 3rd second.
Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :`s=6+4t^(2)-t^(4)` <br/> Velocity `=(dx)/(dt)=8t-4t^(3)` when t-2 <br/> Velocity `=<a href="https://interviewquestions.tuteehub.com/tag/8-336412" style="font-weight:bold;" target="_blank" title="Click to know more about 8">8</a> xx 2-4 xx 2^(3)"Velocity =-16m/s"` <br/> Acceleration `a=(d^(2)s)/(dt^(2)) =8""12t^(2)` when t-2 <br/> acc `=8-12 xx 2^2=-40 ""acc=-40m//s^2` <br/> displacement in 3 seconds `s_(2)=6+4, 3^(2)-3^(4)=-39m` <br/> <a href="https://interviewquestions.tuteehub.com/tag/displacment-2586435" style="font-weight:bold;" target="_blank" title="Click to know more about DISPLACMENT">DISPLACMENT</a> during 3rd second <br/> Average velocity during 3rd second `=(+45)/(1)=-45m//s` <br/> -ve sign indicates that the body is moving in <a href="https://interviewquestions.tuteehub.com/tag/opposite-1137237" style="font-weight:bold;" target="_blank" title="Click to know more about OPPOSITE">OPPOSITE</a> direction to the initial direction of motion.</body></html>