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Imagine that a group records the following positions vs. time graph with a motio

ID: 2276788 • Letter: I

Question

Imagine that a group records the following positions vs. time graph with a motion detector Does the object ever have a positive acceleration? If so, describe the time interval or intervals and explain how you can tell. If not, explain why not. Does the object ever have a negative acceleration? If so, describe the time interval or intervals and explain how you can tell. If not, explain why not. At approximately t = 1.7 s the object changes direction. Is the acceleration at this instant positive, negative, or zero? Explain. Calculate the velocity of the object at time 2.5 seconds. Be sure to show your work.

Explanation / Answer

accelaration of the object can be purely determined by finding the the part of the graph which has

d2x/dt^2 <0

and d2x/dt^2 >0

from this cases we get the ans for the first two parts

and for the velocity we see the slope of the cureves at the particular time at which we to find the velocity