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The acceleration of a particle depends on displacement covered in a time as `a = s + 5`. It is given that initially `s = 0` and `v = 5 m//s`, then which of the following is possibly correct ?A. `v = s + 5`B. `v = sqrt(s + 5)`C. `v = "log"_(e) ((s + 5)/(5))^(2)`D. `v = "log"_(e) ((s + 5)/(s))` |
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Answer» Correct Answer - A `a = s + 5` `v (dv)/(ds) = + 5` `underset(s)overset(v)(int) vdv = underset(0)overset(s)(int) v ds + underset(s)overset(s)(int) 5 ds` `[(v)/(2)]_(s)^(v) = (s^(2))/(2) + 5s` `(v^(2) - 2s)/(2) = (s^(2) + 10s)/(2)` `v^(2) = s^(2) + 10s + 2s` `v^(2) = (s + 5)^(2)` `v = +- (s + 5)` `v = s + 5` |
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