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A partical is subjected to an accelerati...

A partical is subjected to an acceleration `a= alpha t^(1) + beta t^(2)` , where `alpha` and `beta` are constants. The velocity of the partical at t = 0 is `v0`. What is the expressions for velocity v of the particle at time t?

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`v = v_(0)+(1)/(2)alphat^(2)+(1)/(3)betat^(3), x = x_(0)+v_(0)t+(1)/(6)alphat^(3)+(1)/(12)betat^(4)`
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CHHAYA PUBLICATION-ONE - DIMENSIONAL MOTION -Problem Set - II (Based on Rectilinear Motion )
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  3. An object moving with a constant acceleration covers 145 cm and 185cm,...

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  6. Two particles start moving from point A along a straight line AB at th...

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  7. Car A moving along a straight horizontal road with a velocity 60 "km.h...

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  8. A partical covers 35 cm, 50 cm, 89 cm distances during the third, seve...

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  9. A jet pIane starts from rest with an acceleration of 3 "m.s"^(-2), and...

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  10. A partical is subjected to an acceleration a= alpha t^(1) + beta t^(2)...

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  11. A body traveIs 400 cm in the 3rd second and 1200 cm in the 5th second....

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  12. The displacement x of a particle in rectilinear motion at time t is re...

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  13. A particle moves along a straight line retardation a = ksqrt(v) [ k is...

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  14. A particle is moving along a straight line OX. The displacement (x) fr...

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  15. A train of length 200 m is moving with uniform acceleration. It front ...

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  16. A car starts from rest and travels with uniform acceleration alpha for...

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  17. On a two-lane car A is travelling with a speed of 36 "km.h"^(-1) . Two...

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