OK, let's do a simple experiment and use a graph to find a mathematical model. Constant Acceleration We are going to measure distance and time for an accelerating object and use that to find the ...

and acceleration = velocity change ÷ time. To find the distance travelled, look at the area under the graph. In the first 10 seconds this is the area of the triangle, ½ × 10 s × 40 m/s = 200 m.

Let me start with a graph. This shows the horizontal acceleration of the pod as a function of time. Here the pod accelerates at 9.8 m/s 2 for 2.6 minutes and then travels at a constant speed.

Speed-time graphs show speed on the vertical axis and time on the horizontal axis. The gradient of a speed-time graph represents acceleration because: gradient = \( \frac {\text{change in y} ...

But there's more going on in these scenarios than just your position and time. You also have to be able to graph your velocity and acceleration. So, to graph your velocity, you'd put your velocity ...

The first equation can be derived using a velocity-time graph for a moving object with an initial velocity of u, final velocity of v and acceleration of a. The velocity of the body changes from A ...