### Home > CALC > Chapter 3 > Lesson 3.1.1 > Problem 3-16

After class, Stevie travels in a straight hallway with a velocity shown in the graph below right, where*t*is measured in minutes and v(*t*) is measured in feet per minute. Homework Help ✎Explain what is happening when

*t*> 4.5 minutes.Calculate the total distance Stevie traveled.

If Stevie only travels in the straight hallway, how far does he end up from his original starting place?

What was Stevie's acceleration at

*t*= 1?When was Stevie's acceleration equal to zero?

Notice that the velocity is negative when *t* > 4.5.

When velocity is negative, Stevie moves back towards his starting position.

Total distance is the area under a speed graph. Speed is the absolute value of velocity.

A speed graph is the absolute value of a velocity graph...

Area under a speed graph = total distance.

Area under a velocity graph = displacement.

Distance from starting point is known as 'displacement.'

Displacement is the area under a velocity graph.

Acceleration is slope on a velocity graph.

See hint in part (d).