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8. Motion
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Q5 of 59 Page 255

The displacement of a body is proportional to the cube of the time lapsed. The magnitude of the acceleration is:

We know that,


Displacement …….1


Now, Velocity = …….2


From equations 1 and 2, we get,


Velocity …….3


Now, we also know that,


Acceleration = …….4


From equations 3 and 4, we get,


Acceleration time


Since, acceleration is directly proportional with time, so it increases with time.


Hence option A is correct.

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A car travels 100 km east and then 100 km south. Finally, it comes back to the starting point by the south-east route. Throughout the journey the speed is constant at 60 kmh-1. The average velocity for the whole journey if time taken is 3.3 hours is:

6

A particle accelerates from rest at a constant rate for some time and attains a constant velocity of 8 ms-1. Afterwards it decelerates with a constant rate and comes to rest. If the total time taken is 4 second, the distance travelled is:

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Questions · 59
8. Motion
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