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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
A three-wheeler starts from rest, accelerates uniformly with 1 m s-2 on a straight road for 10 s, and then moves with uniform velocity. Plot the distance covered by the vehicle during the nth second (n = 1,2,3….) versus n. What do you expect this plot to be during accelerated motion : a straight line or a parabola ?

Distance space covered space by space straight a space body space in space straight n to the power of th
second space is space given space by space the space relation comma

straight S subscript straight n space end subscript equals space straight u space plus space straight a fraction numerator space left parenthesis 2 straight n space minus space 1 right parenthesis over denominator 2 end fraction space space space space space space space space space... left parenthesis straight i right parenthesis space

where comma space

straight u space equals space Initial space velocity comma
straight a space equals space acceleration comma space
straight n space equals space time space intervals space equals space 1 comma 2 comma 3 comma... straight n

Here space we space have comma space

straight u space equals space 0 space and space straight a space equals space 1 space straight m divided by straight s squared

Therefore comma space

straight S subscript straight n space equals fraction numerator space left parenthesis 2 straight n space minus space 1 right parenthesis space over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space... space left parenthesis ii right parenthesis space

This space relation space shows comma space

straight S subscript straight n space proportional to space straight n space space space space space space space space space space space space space space space... space left parenthesis iii right parenthesis space

Now, putting different values of n in equation (3), we have

n 1 2 3 4 5 6 7 8 9 10
Sn 0.5 1.5 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5
 
The graph between Sn and n will be a straight line as shown in the figure below. 



241 Views

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. 
1215 Views

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. 
1986 Views

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. 
746 Views

What is motion?

When an object changes it's position with time, with respect to it's surroundings, the object is said to be in motion. 
657 Views

What is the most essential thing to study the motion of a body?

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. 
650 Views