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- To find
*k,*differentiate the velocity equation to get the acceleration equation. Substitute t=2 and a=3 into the acceleration equation to get the value of*k*. - To get an expression for the displacement, Integrate the velocity equation to get the displacement equation. Don't forget to find constant (c) by substituting t=0 and s=0 . The reason why we substitute s=0 and t=0 is because the particles started moving from origin 0 m.
- To find the distance traveled. First determine if the particle turn by finding time (t) when velocity =0. In this case t=-1/2 when v=o, there is no such thing as t=-1/2 i.e. negative time , so we can safely assume that the particle did not turn. Since the particle did not turn, the displacement = distance traveled, we substitute t=o into the displacement equation to get the distance of 16.4m

Elementary Math (EMath) (E Math) Small Group Tuition. inWoodlands . Individual Tuition Choa Chu Kang, Yew Tee, Yishun and Sembawang