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Motion in Straight Line

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Physics Part I

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Physics

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CBSE Gujarat Board Haryana Board

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Class 10 Class 12

The x and y coordinates of the particle at any time are x = 5t – 2t2 and y = 10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t = 2 s is

  • 0

  • 5 m/s2

  • -4 m/s2

  • –8 m/s2


C.

-4 m/s2

x = 5t – 2t2    y = 10t

dx over dt space equals space 5 minus 4 straight t space space space space space space space dy over dt space equals space 10
straight v subscript straight x space equals space 5 minus 4 straight t space space space space space space space space space straight V subscript straight y space equals space 10
dv over dt straight x space equals space minus 4 space space space space space space space space dv over dt straight y space equals space 10
straight a subscript straight x space equals space minus space 4 space space space space space space space space space space space straight a subscript straight y space equals space 0

Acceleration of particle at t = 2 s is = –4 m/s2

x = 5t – 2t2    y = 10t

dx over dt space equals space 5 minus 4 straight t space space space space space space space dy over dt space equals space 10
straight v subscript straight x space equals space 5 minus 4 straight t space space space space space space space space space straight V subscript straight y space equals space 10
dv over dt straight x space equals space minus 4 space space space space space space space space dv over dt straight y space equals space 10
straight a subscript straight x space equals space minus space 4 space space space space space space space space space space space straight a subscript straight y space equals space 0

Acceleration of particle at t = 2 s is = –4 m/s2

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The most essential thing to study the motion is reference frame. Rest and motion are relative terms. It means that an object in one situation can be in rest but in another situation, the same object will be in motion. 
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Can a body be always at rest in some frame?

Yes, a body is always at rest in a frame which is fixed with the body itself. 
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What is rest?

When an object does not change its position with time, with respect to it's surroundings. In such a case the object is said to be at rest. 
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Is absolute rest or absolute motion possible?

Absolute rest and absolute motion is not possible because there is no point in the universe which is at rest and can be taken as point of reference. The planet Earth is in continuous motion. 
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What is motion?

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