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Motion in Straight Line
Question
Wired Faculty App

Plot velocity-time graph for uniform motion and show that the area under the graph is equal to displacement of the particle.

Answer

When a particle moves with a constant velocity, displacement is given by, 

                      S = x - x0 = ut ...(1)

For uniform motion, the velocity time graph is straight line parallel to time axis.



Now area under v-t graph from t = t1 to  t = t2 is given by = Area of rectangle ABCD 

              = ut

              = x - x0, which is the displacement of the particle. 

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Some More Questions From Motion in Straight Line Chapter

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.

Define displacement.

Can magnitude of displacement be greater than distance travelled by particle?

A body is thrown with a velocity of 9.8 m/s in the vertical upward direction. What is the velocity after one second?