AQA GCSE Velocity time graphs and acceleration curved lines(Physics)

Velocity time graphs and acceleration

Acceleration is defined as the rate of change of velocity. 

A velocity time graph will show us how the velocity of an object changes over time. 

The gradient (steepness of the line) will indicate the acceleration.

 

Curved line velocity time graphs

Curved line with decreasing gradient on a velocity time graph to show that acceleration will decrease to zero

In the velocity time graph above, the gradient is a curved line, so the acceleration is constantly changing. 

As time increases, the gradient decreases (line less steep), this means that the acceleration will decrease. 

Once the line is horizontal at the end of the graph, the acceleration is zero.

When the acceleration is zero, the velocity is constant!

Gradient increasing for a velocity time graph, so acceleration is increasing.

In the velocity time graph above the gradient is increasing, because the line becomes steeper. This means that acceleration is increasing, so the velocity will keep on increasing!

Practice Questions

1.A car’s velocity-time graph shows a curve that starts at zero velocity and increases non-linearly over time, eventually reaching a uniform velocity. Sketch a velocity time graph to show this motion.

2. If the curve on a velocity-time graph becomes steeper over time, how would you describe the change in acceleration?

3. If a curved velocity-time graph crosses the time axis, what does this indicate about the motion of the object?

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