A blue object and a green object are initially at the same position at t 0. The Blue object moves with a c velocity of 37.4 m/s i while the Green object begins from rest having an acceleration of 2.14 m/s2 i.

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Chapter2: Motion In One Dimension
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A blue object and a green object are initially at the same position at t = 0. The Blue object moves with a constant
velocity of 37.4 m/s i while the Green object begins from rest having an acceleration of 2.14 m/s? i.
By what distance will the objects be separated when they have the same velocity?
Transcribed Image Text:A blue object and a green object are initially at the same position at t = 0. The Blue object moves with a constant velocity of 37.4 m/s i while the Green object begins from rest having an acceleration of 2.14 m/s? i. By what distance will the objects be separated when they have the same velocity?
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Step 1

The Blue object moves with a constant velocity of 37.4 m/s i

The Green object begins from rest and accelerates at the rate of 2.14 m/s2 i

This is a case of 1-Dimensional motion along X-axis.

When both object have same velocity, it means Green object must have acquired a velocity of  37.4 m/s i, as the Blue object moves with a constant velocity of 37.4 m/s i.

We know V=U+at 37.4 = 0 + 2.14t  t=37.4 2.14=17.476635514 s, where V, U and a are the Final velocity, initial velocity and acceleration of the Green Object.

 

The distance covered by Green object = at22=326.813084112

The distance covered by Blue object moving with a constant velocity = 37.4 m/s X 17.476635514 sec =653.626168224 m

Therefore the Green object would be trailing the Blue object by    326.813084112 m.

 

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