    Question

# A particle is moving along the x-axis such that at t = 0, it is at origin, and when it is at x=−9m, its velocity is v=−10m/s. Its acceleration is uniform and is equal to −2m/s2. Then

A
Time after which it reached origin is 9 sec.
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B
Its initial speed is 8 m/s.
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C
Distance travelled in 9 sec is 41 m.
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D
Distance travelled in 9 sec is 9m.
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Solution

## The correct options are B Its initial speed is 8 m/s. C Distance travelled in 9 sec is 41 m.By v2−u2=2as, (−10)2−u2=2×−2×−9⇒u=8 m/s ∴ Initial speed is 8 m/s The time after which it reaches origin say is t, By S=ut+12at2 0=10t−12×2t2 t2−10t=0⇒t=0 sec or t=10 sec When it reaches the extreme position on the right, say it has covered at d then, 02−82=2×−2×d⇒d=16 m The total distance covered is, (2×16)+9=41 m  Suggest Corrections  0      Similar questions  Related Videos   Motion Under Constant Acceleration
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