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Motion In Straight Line

Question
CBSEENPH11017032
Wired Faculty App

Derive the relation v = u + at for uniform accelerated motion.

Solution
Initial velocity of the particle = u
Rate of acceleration of the particle = a 
Velocity of the particle after time 't' = v
Now, using the formula, 
space space space space space space space space space straight a space equals space dv over dt therefore space space space space space dv space equals space straight a. dt space Integrating space both space sides comma space we space get space space space space space integral subscript straight u superscript straight v dv space equals space integral subscript 0 superscript straight t straight a space dt space equals straight a space integral subscript 0 superscript straight t dt space rightwards double arrow space space space space space space right enclose straight v subscript straight u superscript straight v space equals space straight a right enclose straight t subscript 0 superscript straight t space rightwards double arrow space space space space space space space space straight v minus straight u space equals space at space rightwards double arrow space space space space space space straight v space equals space straight u space plus space at

Some More Questions From Motion in Straight Line Chapter

Is absolute rest or absolute motion possible?

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.

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