velocity-time graph

Displacement is represented by the area under a velocity-time graph.

Differentiation of the velocity-time graph will provide information on acceleration.

Velocity-time graphs can represent the motion of a body.

As you can see from this plot, the distance traveled would be equivalent to the area under the velocity-time graph.

Question 3: Does your velocity-time graph appear to be consistent with the rocket having a constant acceleration?

The engineers constructed the following velocity-time graph:

Rate of change of velocity It is also the gradient of a velocity-time graph A positive acceleration shows speeding up and vice versa.

Analyse and calculate the slopes of displacement-time graphs and velocity- time graphs, and the areas under velocity-time graphs and acceleration-time graphs.

Trapezium Rule This is a useful method of estimating the area under a graph. You often need to find the area under a velocity-time graph since this is the distance travelled.

Pupils of mixed ability in Year 10 showed good appreciation of reaction time in stopping distance, were able to calculate the distance from the area under the velocity-time graph and knew the units of acceleration.