describing motion with velocity - time graphs\nread from lesson 4 of the 1 - d kinematics chapter at the…

describing motion with velocity - time graphs\nread from lesson 4 of the 1 - d kinematics chapter at the physics classroom\nhttp://www.physicsclassroom.com/class/1dkin/u1l4a.html\nhttp://www.physicsclassroom.com/class/1dkin/u1l4b.html\nhttp://www.physicsclassroom.com/class/1dkin/u1l4c.html\nhttp://www.physicsclassroom.com/class/1dkin/u1l4d.html\nmop connection: kinematic graphing: sublevels 5 - 8 (and some of sublevels 9 - 11)\nmotion can be described using words, diagrams, numerical information, equations, and graphs. describing motion with graphs involves representing how a quantity such as the objects velocity changes with respect to the time. the key to using velocity - time graphs is knowing that the slope of a velocity - time graph represents the objects acceleration and the area represents the displacement.\nreview:\n1. categorize the following motions as being either examples of + or - acceleration.\na. moving in the + direction and speeding up (getting faster)\nb. moving in the + direction and slowing down (getting slower)\nc. moving in the - direction and speeding up (getting faster)\nd. moving in the - direction and slowing down (getting slower)\ninterpreting velocity - graphs\n2. on the graphs below, draw two lines/curves to represent the given verbal descriptions; label the lines/curves as a or b.\na moving at constant speed in - direction\nb moving at constant speed in + direction\na moving in + direction and speeding up\nb moving in - direction and speeding up\na moving in + direction and slowing down\nb moving in - direction and slowing down\na moving with + velocity and - acceln\nb moving with + velocity and + acceln\na moving with - velocity and - acceln\nb moving with - velocity and + acceln\na moving in + dirn, first fast, then slow\nb moving in - dirn, first fast, then slow

describing motion with velocity - time graphs\nread from lesson 4 of the 1 - d kinematics chapter at the physics classroom\nhttp://www.physicsclassroom.com/class/1dkin/u1l4a.html\nhttp://www.physicsclassroom.com/class/1dkin/u1l4b.html\nhttp://www.physicsclassroom.com/class/1dkin/u1l4c.html\nhttp://www.physicsclassroom.com/class/1dkin/u1l4d.html\nmop connection: kinematic graphing: sublevels 5 - 8 (and some of sublevels 9 - 11)\nmotion can be described using words, diagrams, numerical information, equations, and graphs. describing motion with graphs involves representing how a quantity such as the objects velocity changes with respect to the time. the key to using velocity - time graphs is knowing that the slope of a velocity - time graph represents the objects acceleration and the area represents the displacement.\nreview:\n1. categorize the following motions as being either examples of + or - acceleration.\na. moving in the + direction and speeding up (getting faster)\nb. moving in the + direction and slowing down (getting slower)\nc. moving in the - direction and speeding up (getting faster)\nd. moving in the - direction and slowing down (getting slower)\ninterpreting velocity - graphs\n2. on the graphs below, draw two lines/curves to represent the given verbal descriptions; label the lines/curves as a or b.\na moving at constant speed in - direction\nb moving at constant speed in + direction\na moving in + direction and speeding up\nb moving in - direction and speeding up\na moving in + direction and slowing down\nb moving in - direction and slowing down\na moving with + velocity and - acceln\nb moving with + velocity and + acceln\na moving with - velocity and - acceln\nb moving with - velocity and + acceln\na moving in + dirn, first fast, then slow\nb moving in - dirn, first fast, then slow

Answer

Explanation:

Step1: Recall acceleration - velocity relationship

Acceleration is the rate of change of velocity. If velocity and acceleration have the same sign, speed increases; if opposite, speed decreases.

Step2: Analyze case a

Moving in + direction and speeding up means velocity and acceleration are both positive. So it's + acceleration.

Step3: Analyze case b

Moving in + direction and slowing down means velocity is positive and acceleration is negative. So it's - acceleration.

Step4: Analyze case c

Moving in - direction and speeding up means velocity and acceleration are both negative. So it's - acceleration.

Step5: Analyze case d

Moving in - direction and slowing down means velocity is negative and acceleration is positive. So it's + acceleration.

Answer:

a. + acceleration b. - acceleration c. - acceleration d. + acceleration