A horizontal force of 80 N acts on a mass of 6 kg resting on a horizontal surface. The mass is initially at rest and covers a distance of 5 m in 0.92 s under the action of the force. Assuming there are no energy losses due to air resistance and therefore that the acceleration is constant:

  1. (a) Calculate the total energy expended in the acceleration.

    (b) Plot a graph of the kinetic energy of the mass against time.

    (c) Plot a graph of the kinetic energy of the mass against distance.

2. Relevant equations

a= 2d/t^2

v=at

KE=1/2m(at)2

KE=1/2m(2ad)

3. The attempt at a solution
Work done so far:

1. (a) 80 x 5= 400J

1 (b) a= 2d/t^2
a=(2x5)/0.92^2
a=11.8147448
a=11.81 m/s^-2

v=at
v=11.8147448 x 0.932
v=10.86956522

KE=1/2m(at)2
KE=0.5 x 6(10.86956522)^2
KE=354.4423442 J
KE= 354.44 J

1 (c) KE=1/2m(2ad)
KE=0.5 x 6(2 x 11.8147448 x 5
KE=354.442344 J
KE= 354.44 J

I'm completely stumped on the graphs, how to start them, how to plot them etc.

Any help is greatly appreciated!!