Figure P 11.41 is the velocity-versus-time graph of a 500 g particle that starts at x = 0 m and moves along the x-axis. Draw graphs of the following by calculating and plotting numerical values at t = 0, 1, 2, 3, and 4 s. Then sketch lines or curves of the appropriate shape between the points. Make sure you include appropriate scales on both axes of each graph.

a. Acceleration versus time.

b. Position versus time.

c. Kinetic energy versus time.

d. Force versus time.

e. Use your F_xversust graph to determine the impulse delivered to the particle during the time interval 0-2 s and also the interval 2-4 s.

f. Use the impulse-momentum theorem to determine the particle’s velocity at t = 2 s and at t = 4 s. Do your results agree with the velocity graph?

g. Now draw a graph of force versus position. This requires no calculations; just think carefully about what you learned in parts a to d.

h. Use your F_x-versus-x graph to determine the work done on the particle during the time interval 0-2 s and also the interval 2-4 s.

i. Use the work-kinetic energy theorem to determine the particle’s velocity at t = 2 s and at t = 4 s. Do your results agree with the velocity graph?

Transcribed Image Text:

V, (m/s) 20 10- t (s) 4 0- 1 3 2.