1-d Kinematics. Which position-versus-time graph represents the motion shown in the motion diagram?

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Presentation transcript:

1-d Kinematics

Which position-versus-time graph represents the motion shown in the motion diagram?

Which velocity-versus-time graph goes with this position-versus-time graph on the left? Note that the variable “s” denotes a generic Cartesian coordinate. It could be x or y.

Which velocity-versus-time graph goes with this position-versus-time graph on the left? The velocity graph must match the slope of the position graph. The position graph starts with a constant positive slope. Then the slope decreases to zero.

Which position-versus-time graph goes with this velocity- versus-time graph on the left? The particle’s position at t i = 0 s is x i = –10 m.

The velocity graph must match the slope of the position graph. The intercept of the position graph is arbitrary.

Which velocity-versus-time graph or graphs goes with this acceleration-versus-time graph? The particle is initially moving to the right and eventually to the left.

The slope of the velocity graph must match the acceleration graph. The intercept is based on the direction information.

The ball rolls up the ramp, then back down. Which is the correct acceleration graph?

The ball will move up the ramp while slowing down, then it will reach a turnaround point and begin to move down the ramp with increasing speed. The velocity graph at right is consistent with that description. The acceleration graph shown in graph d is consistent with the requirement that it match the slope of the velocity graph.