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a. What can you say about velocity in ea...

a. What can you say about velocity in each of the following position-time graphs?
.
b. The slope of the velocity-time graph is equal to acceleration. (True//False)
c. What does the area under acceleration-time graph represents?
d. Can velocity-time graph be parallel to the velocity axis? (Yes//No)
e. What is the slope of the `v-t` fraph in uniform motion? .

Text Solution

Verified by Experts

a. We know that the slope of the position-time graph is equal to veloctiy. So
i. as the slope is zero it is zero velocity.
ii. As the slope is positive and constant, it is constant positve velocity .
iii. As the slope is infinite, it is infinite velocity.
iv. as the slope is negative and constant, it is constant negative increasing velocity .
vi as the slope is positive and decreasing, it is positive increasing velocity.
vii. as the slope is positive and increasing, it is positive increasing velocity.
viii. as the slope is positive and decteasing, it is positive decreasing veovity.
b. True, as `dv//dt=`acceleration.
c. Chagein velocity
d. No because it will indicate infinite acceleration, which is not poasible
e. Zero, becoause acceleration will be zero inuniform motion.
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Knowledge Check

  • Area under a velocity-time graph gives

    A
    the time taken by a moving object
    B
    the distance travelled by a moving object
    C
    the acceleration of moving object
    D
    the retardation of a moving object
  • The area under a velocity-time graph gives :

    A
    Displacement
    B
    Change in velocity
    C
    Acceleration
    D
    Speed
  • For a given acceleration - time graph, there exist ………………………… velocity - time graph

    A
    1
    B
    2
    C
    3
    D
    many
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