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).