When a velocity-time graph uses a sloped line, the section of the graph for constant velocity is flat. The lines slope is zero and so the acceleration in this section is zero therefore the object is travelling at a constant speed.

When the brakes are applied, the velocity decreases to zero and the vehicle decelerates. The slope of the line is negative in this section.

The area under a straight line represents constant velocity. Therefore, to find out the distance travelled, use the velocity * time.

The area under a sloped line represents deceleration. You can work out the distance travelled in this section by using the area of the section under the sloped line. This will be 1/2 * height * base of the triangle.

The slope of the line on a velocity-time graph represents acceleration.

The area under the line on a velocity-time graph represents distance travelled.

Would the total distance travelled be greater or smaller if the deceleration had taken longer?

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