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A particle moving in a straight line covers half the distance with speed of 3 metre per second the other half of the distance is covered in two equal time intervals with a speed of 4.5 metre per second and 7.5 metre per second respectively what is the average speed of the particle |
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Answer» ONG>Answer:
The average speed of particle during this motion is 4 m/s.
Given that,
FIRST HALF of a distance is covered with speed = 3 m/s
The other half of a distance is covered in 2 equal time intervals at speed of 4.5 M SECOND and 7.5 seconds respectively
Let the total distance covered be 2 x.
Let t be the time taken the first half of the distance.
t = \dfrac{x}{3}
Let the other half of a distance be covered in two equal intervals of time.
x=4.5t'+7.5t'
x=12t'
t'=\dfrac{x}{12}
The total time is
t''=t+2t'
t''=\dfrac{x}{3}+2\times\dfrac{x}{12}
t''=\dfrac{x}{3}+\dfrac{x}{6}
The average speed is equal to the total distance divided by the total time.
v_{avg}=\dfrac{2x}{\dfrac{x}{3}+\dfrac{x}{6}}
v_{avg}=4 m/s
Hence, The average speed of particle during this motion is 4 m/s. |
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