A car with an initial speed of #6.5# #m##/##s# accelerates at a uniform rate of #0.92# #m##/##s^2# for #3.6# #s#. What is the final speed and the displacement of the car during this time?

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Answer 1 · 2018-03-03T12:32:31

Use the equations of motion, Luke!

#S=ut+(1/2)at^2#

#S=6.5+(1/2)(0.92)(3.6^2)#

#S=12.46#

#v^2-u^2=2aS#

#v^2-(6.5)^2 color(white)("d")=color(white)("d")2(0.92)(12.46)#

#v^2=2(0.92)(12.46)-(6.5)^2#

#v=4.39#