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Graphical Analysis: Position vs. time and Velocity vs. time graphs section. A ve

ID: 1276487 • Letter: G

Question

Graphical Analysis: Position vs. time and Velocity vs. time graphs section. A velocity vs. time graph The position vs. time graph Mow represents the motion of an object moving in a straight line Describe the motion in words. During which period(s) of time, if any. is the velocity constant? Explain how you know this. Find the object's instantaneous velocity at each of the following times. Please show your reasoning, t = 0.5 seconds t = 2.0 seconds t = 4.0 seconds For each of intervals following intervals, find the average velocity of the object. between interval A and C between A and D between B and D On the graph above, sketch and label the lines that would represent an object moving with a constant velocity between each of the pairs of points (from part D above). For each line that you drew, how doc the slope of that line compare to the computations of the average velocity from part D?

Explanation / Answer

from A-b the body was at rest , then from b-c it moves with constant velocity and from c-d it moves with constant velocity but differnt than b-c

b.

FROM B-C and C-D the body moved with constant velocity because slopes(=velocity) are constant not changing b/w this positions

c.

At t=o.5 , v=0

t=2 v=slope of line= (8-2)/(3-1)=3m/s

t=4 v= slope of line=10-8/5-3 =1m/s

d. avg velocity b/w a and c=(8-2)/(3)=2m/s

avg velocity b/w a and d= 8/5=1.6

avg velocity b/w b and d=8/4=2m/s