Question

In a speed-time graph, the area enclosed by the speed-time curve and the time axis gives

• A. Velocity
• B. Acceleration
• C. Speed
• D. Distance travelled

Answer 1

The correct option is D Distance travelled

Taking this graph as example. The area under a speed-time graph shows the distance travelled by the moving object. For the plot above this can be determined by calculating the total area. By splitting plot into triangle A, rectangle B and triangle C the area can be determined.

Area of triangle A=$\frac{1}{2}\times base\times height$

Area of rectangle B=$base\times height$

Area of triangle C=$\frac{1}{2}\times base\times height$