d)
The graph below shows velocity as a function of time for some unknown object
velboty (m/s)
10
20
25
-57
a. What can we say about the motion of this object?
b. Plot the corresponding graph of acceleration as a function of time.
c. Plot the corresponding graph of displacement as a function of time.
Answers
Answer:
image and answer credit : ( physics. info )
a The problem presents us with a velocity-time graph. Do not read it as if it was showing you position. You can't immediately determine where the object is from this graph. You can say what direction it's moving, how fast it's going, and whether or not it's accelerating, however. The motion of this object is described for several segments in the graph given in ( first image )
b.Acceleration is the rate of change of displacement with time. To find acceleration, calculate the slope in each interval. ( image 2 )
Plot these values as a function of time. Since the acceleration is constant within each interval, the new graph should be made entirely of linked horizontal segments. ( image 3)
c.Displacement is the product of velocity and time. To find displacement, calculate the area under each interval. ( image4)
Find the cumulative areas starting from the origin (given an initial displacement of zero)
00 s → 0 = 0 m
04 s → 0+8 = +8 m
08 s → 0+8−8 = 0 m
12 s → 0+8−8−16 = −16 m
16 s → 0+8−8−16−8 = −24 m
20 s → 0+8−8−16−8+0 = −24 m
24 s → 0+8−8−16−8+0+8 = −16 m
30 s → 0+8−8−16−8+0+8+24 = +8 m
Plot these values as a function of time. Pay attention to the shape of each segment. When the object is accelerating, the line should be curved .
(image 5)
- srijan
