The equation of motion of a particle is s = t4 - 2t^3 + t^2 - t, where s is in meters and t is in seconds. Graph the postion, velocity, and acceleration function on the same screen.
1 Answer | Add Yours
The displacement of the particle is `s = t^4 - 2t^3 + t^2 - t`
The velocity is `(ds)/dt = 4t^3 - 6t^2 + 2t - 1`
The acceleration is `(d^2s)/(dt^2) = 12t^2 - 12t + 2`
Plotting the three on the same graph gives where the displacement is in black, the velocity is in red and the acceleration is in green.
Join to answer this question
Join a community of thousands of dedicated teachers and students.Join eNotes