Question

Assume a motion sensor is placed at the origin {i.e. position (x) = 0}. In each of the following problems, you will be given one of the following descriptions of motion: a written description, or a x versus t, a v versus t or an a versus t graph. Fill in/sketch the other threee descriptions of motion that would be consistant with the given one. Don't bother with exact numerical values, but make sure that

(a) the sign (+/-) and slope are correct

(b) the relative magnitudes of the quantities (ie, greater or less) are correct

(c) the times on the two graphs are aligned.

The first part has been completed as an example:

2. x versus t graph is given, complete the description of motion, v versus t graph and a versus t graph.

c. x versus t graph is given, complete the description of motion, v versus t graph and a versus t graph.

d. x versus t graph is given, complete the description of motion, v versus t graph and a versus t graph.

e. v versus t graph is given, complete the description of motion, x versus t graph and a versus t graph.

f. x versus t graph is given, complete the description of motion, v versus t graph and a versus t graph.

g. The description of motion is given, complete the x versus t graph, v versus t graph and a versus t graph.

h. a versus t graph is given, complete the description of motion, x versus t graph and v versus t graph.

i. v versus t graph is given, complete the description of motion, x versus t graph and a versus t graph.

a. Description of motion: Move toward the detector at constant speed. 4 Time (s) 10 2 10 5 Time (s) 10 Time (s) -2 Acceleration (m/s') Velocity Position (m) (squr) x versus t graph is given, complete the description of motion, v versust graph b. and a versus t graph. (3points) Description of motion: 2 Time (s) 10 2 0 5 10 Time (s) Time (S) -2 Acceleration (m/s) 10 Velocity (m/s) 2 () uopiso x versus t graph is given, complete the description of motion, v versus t graph and o versus t graph. (3points) C. Description of motion: 4 10 Time (s) 10 5 10 Time (s) Time (s) Acceleration (m/s) Velocity (m/s) Position (m) x versus t graph is given, complete the description of motion, v versus t graph and a versus t graph. (3points) Description of motion: 2 5 Time (s) 10 10 10 Time (s) Time (s) Acceleration (m/s) Velocity (m/s) 2 v versus t graph is given, complete the description of motion, x versus t graph and a versus t graph. (3points) Description of motion; 10 Time (s) 10 Time (s) Time (s) Acceleration (n/s Velocity (m/s) Position (m) f.X versus t graph is given, complete the description of motion, v versus t graph and a versus t graph. (3points) Description of motion: 0 0 5 Time (s) 10 0 5 10 Time (s) 10 Time (S) 2 Acceleration (m/s) Velocity (m/s) Position (m) The description of motion is given, complete the x versus t graph, v versust graph and a versus t graph. (3points) Description of motion: Move toward the detector with decreasing speed, then just as you have come to rest, move away from the detector with increasing speed. 2 0 0 10 5 Time (s) 2 2 10 5 Time (s) 0 10 5 Time (s) 0 -2 Acceleration (m/s') Velocity (m/s) Position (m) a versus t graph is given, complete the description of motion, x versus t graph and vi versus t graph. (3points) Description of motion: 10 Time (s) 0 0 10 Time (s) 0 10 Time (s) -2 Acceleration (m/s) Velocity Position (m) (S/u) Description of motion: 2 10 Time (s) 5 0 0 0 10 0 Time (s) 10 5 Time (s) Acceleration (m/s) Velocity (m/s) Position (m) et

Answer 1

b. Position time graph shows a straight line referring to rest; body is at rest at 2m from the sensor. Therefore velocity and acceleration will be zero.

c. describes a uniform motion started from position 2m; body is moving away from sensor at constant velocity. Acceleration is zero

d. uniform motion with initial position as 1m; body moving away from sensor at a constant speed the speed is greater than case c. Acceleration is zero

e. uniformly accelerated motion; body moving away from sensor with increasing speed,with a constant acceleration and acceleration is positive.

f. uniformly decelerated motion; body moving towards the sensor with decreasing speed , acceleration magnitude is constant and its negative.

g. the graph will be a combination of case e and case f

h. uniformly accelerated motion starting after some time or we can say the body was at rest for some time before moving away from the sensor

I. it’s a complex motion initially body moving towards sensor with constant speed then its sped increases with constant acceleration and then body goes away the sensor with constant speed

Please see the following graph

Timelslo -2+ Acle ration is zero Timey) -2 2 ti me (s) PosiHon N O

times) 5 time (S) 2 ime CUSTAE time 1o time (s) io Acce leration(m/s Acdelerationl) C) doiso |ACce mis) /u)AnoA Gutpo

10 5 timels) time(2) 10 time us ID YO timeis 01 e)y0 |(uueais0d pro 7 A ceeleralo0