Remember, acceleration is the same as gradient, and acceleration = velocity change ÷ time. Look at the graph. The acceleration of the vehicle in the first 10 seconds is: ...

The gradient of speed-time and velocity-time graphs represent acceleration. ... If the velocity is always positive, then the displacement will be the same as the distance. Example.

The x 0 is the starting postion (at t = 0) and v 0 is the velocity at time zero. So, for this case, I will release the cart from rest (hopefully) so that the v 0 term will be zero.