### Home > CALC > Chapter 4 > Lesson 4.3.1 > Problem4-100

4-100.

Write an equation for each line segment.

Since this is a velocity graph, calculate the area under the curve for the given interval.

$\int_{0}^{3}v(t)dt\text{ and }\int_{0}^{4}v(t)dt=\int_{0}^{2}v(t)dt$

For 3 ≤ t ≤ 5, the function values are negative. This is a velocity graph, so what does negative velocity tell you about position?

$\text{displacement }=\int_{a}^{b}\text{velocity } dt$

$\text{total distance }=\int_{a}^{b}\text{speed } dt=\int_{a}^{b}\left | \text{velocity} \right |dt$