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The acceleration of a particle is increasing linearly with time t as bt. The particle starts from the origin with an initial velocity v0. The distance travelled by the particle in time t will be
(a) v0t + 1/3 bt2
(b) v0t + 1/3 bt3
(c) v0t + 1/2 bt3
(d) v0t + 1/2 bt2

Kevin Nash , 12 Years ago
Grade upto college level
anser 1 Answers
Radhika Batra

(c)

    dv/dt = bt; Integrated ∫¦dv=∫¦?bt dt?

    v = (bt^2)/2 + c        [t = 0, v = v0]

    v = v0 + (bt^2)/2

    s = v.t = v0t + (bt^3)/2

Last Activity: 12 Years ago
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