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Motion In Straight Line

Question
CBSEENPH11020813
Wired Faculty App

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

Solution

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

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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