The velocity time graphs give all three variables for motion–velocity which can be read off at any time. Area is displacement and gradient is acceleration.

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: ...

Acceleration (a)- the rate of change of an object’s velocity over time. Displacement (s)- the total distance and the direction the object travels.

With this distance and time value, I can simply plug it into the kinematic equation and solve for the acceleration. This would give an acceleration of 0.1053 m/s 2 .

With a fairly large time interval of 0.1 seconds, I still get a displacement fairly close to the analytical solution of 12 meters. Making a smaller time interval will clearly give a better solution.