How would you calculated the distance travelled by the car using its velocity-time graph

Measure the area under the graph.

Explanation:

To calculate the distance traveled by a car (or anything) using a velocity-time graph, just measure the area under the graph! This is super easy. :)

I will use the graph below as an example. If you needed to find the distance traveled from 4 seconds to 10 seconds, you would just find the area under those two points. The dark blue is the area we need to find the area of.

The area of a rectangle is a A = bh

A = bh

A = (6 s)(8 m/s)

A = 48 meters

If you wanted to find the area from 0 seconds to 4 seconds, you would find the area of the light blue triangle.

A = 1/2bh

A = 1/2(4 s)(8 m/s)

A = 16 meters

If you wanted to find the area from 0 seconds to 10 seconds, you would just add these two areas!

A1 + A2

48 meters + 16 meters = 64 meters

I really hope this helped! :)

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