The slope of a displacementtime graph represents the

The slope of a displacement-time graph represents the velocity. The slope of a velocity-time graph represents the acceleration. The area under a velocity-time graph represents the displacement to that point. The area under an acceleration-time graph represents the velocity to that point.

Observe the animation of the three cars below. Which car or cars (red, green, and/or blue) are undergoing an acceleration? Study each car individually in order to determine the answer. Which car (red, green, or blue) experiences the greatest acceleration?

Consider the position-time graph at the right. Each one of the three lines on the position-time graph corresponds to the motion of one of the three cars. Match the appropriate line to the particular color of car. B = Red (constant velocity) A = Blue (acceleration with steeper tangents) C = Green (acceleration with less steep tangents)

Constant positive velocity

Constant negative velocity

Constant positive acceleration

Constant negative acceleration

The passing lane

The passing lane

A blue car moving at a constant speed of 10 m/s passes a red car that is at rest. This occurs at a stoplight the moment that the light turns green. Velocity-time data for both cars are collected and plotted. The red car accelerates from rest at 4 m/s 2 for three seconds and then maintains a constant speed. The blue car maintains a constant speed of 10 m/s for the entire 12 seconds.