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Motion In Straight Line

Question
CBSEENPH11020583
Wired Faculty App

The motion of a particle along a straight line is described by equation
 x=8+12 t -t3

where x is in metre and t in second. The retardation of the particle when its velocity becomes zero, is

  • 24 ms-2

  • zero

  • 6 ms-2

  • 12 ms-2

Solution

D.

12 ms-2

Given :  x=8+12 t -t3
We space know space straight v space equals space dx over dt and space space straight a equals dv over dt So comma space straight v equals 12 minus 3 straight t squared and space straight a equals negative 6 straight t At space straight t space equals space 2 straight s space straight v equals space 0 space and space straight a space equals space minus 6 straight t straight t space equals space 2 straight s space straight a space equals space minus space 12 straight m divided by straight s squared space so space retardation space of space the space particle space equals space 12 straight m divided by straight s squared

Some More Questions From Motion in Straight Line Chapter

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

Can a body be always at rest in some frame?

Can a body be in motion in the frame associated with the body itself?

When an object in motion can be considered as particle or point object?

Can you think of physical phenomena involving the moon in which moon cannot be treated as particle?

A train is crossing the bridge. Can it be taken as a particle?

Can a train be taken a particle? Give an example in support of your answer.

 A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion: 

(a) A kite flying in the sky.

(b) The earth revolving around the sun. 

(c) A train moving along the equator of the earth in clockwise direction. 

(d) Accelerated motion of a particle in a straight line.

Define distance.

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