InterviewSolution
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InterviewSolution
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The coordinates of a moving particle at any time `t` are given by `x = alpha t^(3)` and `y = beta t^(3)`. The speed of the particle at time `t` is given byA. `sqrt(alpha^(2) + beta^(2))`B. `3t sqrt(alpha^+ beta^(2))`C. `3t^(2) sqrt(alpha^(2) + beta^(2))`D. `t^(2) sqrt(alpha^(2) + beta^(2))` |
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Answer» Correct Answer - C `x = alpha t^(3) rArr v_(x) = (d x)/(d t) = 3 beta t^(2)` `y = beta t^(3) rArr v_(y) = (d y)/(d t) = 3 beta t^(2)` `v = sqrt(v_(x)^(2) + v_(y)^(2)) = 3 t^(2) sqrt(alpha^(2) + beta^(2))` |
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