Question

Problem 9 For the following described motion, draw a position-time, a velocity-time, and an acceleration-time graph on the grids provided:

1. Standing still at the 0.6 meter position for 1 second.

2. Walking away from the detector speeding up slowly and steadily for 2 seconds, going from rest to 1.0 m/s, at x=1.6 m.

3. Walking away from the detector steadily at 1.0 m/s for 2 seconds.

4. Coming to rest slowly and steadily over a 1 second period.

5. Standing still for 1 second.

6. Walking toward the detector at a steady rate until you return to the 0.6 meter position in one more second. Assume you got to this new speed instantaneously after standing still, and just represent the instantaneous change in velocity as a vertical dashed line on the v − t graph, and your acceleration graph will end here.

On the graphs below:

(a)[11 pts] Draw the position-time graph of the motion.

(b)[11 pts] Draw the velocity-time graph of the motion.

(c)[6 pts] Draw the acceleration-time graph for the first 6 seconds of the motion.

Answer 1