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A function of time as the ants move along the celery stalk

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Reference no: EM13667018

A biologist is investigating the behavior of 2 ants, Alfredo and Bernice. The graph below shows the position of the ants as a function of
time as the ants move along the celery stalk.

To describe the ant's motion, a coordinate system is chosen such that x = 0 is at the center of the stalk and positive values of x indicate positions on the leafy end of the stalk.

(a) At what time or times, if any, is Alfredo instantaneously at rest?
(b) At what time or times, if any, is Bernice  moving toward the leafy end of the celery stalk?
(c) At what time or times, if any, does Bernice change direction?
(d) During which time intervals, if any, is Alfredo moving with approximately constant speed?
(e) At what time is Alfredo moving fastest? Explain.
(f) At what time or times, if any, do Alfredo and Bernice have the same velocity? Explain how you can tell.
(g) At what time is Bernice farthest from where she started?
(h) At time 1 second, is the speed of Bernice greater than, less than, or equal to the speed of  Alfredo? Explain how you determined your answer.

2. An object moves in one dimension. The position of the object is described by the equation !x(t) = 2m +("0.5m / s)t .
(a) What is the position of the object at time t = 0?
(b) The quantity -0.5 m/s in the equation gives the

slope of the line on the position-time graph. What physical attribute of the object (mass, position, etc.) is represented by this quantity?

(c) Sketch a position vs. time graph for this object on the axes provided at right

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This work was related to solving two questions of Physics. First question was related to basic kinematics. In this question the position vs time graph was provided for two objects and various questions regarding the instantaneous speed, direction change of motion, slowest speed, fastest speed and average speed were asked. The second question was related to the position-time function of a motion for an object. The position of the object at time t=0 was asked in first part. In the second part of the question, a term given in the equation was identifies as the speed of the object. In the third part the position vs time graph of the object was plotted in the given position time scales..

Reference no: EM13667018

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