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The coordinates of a moving particle at ...

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 by

A

`3t^(2) sqrt(alpha^(2) + beta^(2))`

B

`t^(2) sqrt(alpha^(2) + beta^(2))`

C

` sqrt(alpha^(2) + beta^(2))`

D

`3t sqrt(alpha^(2) + beta^(2))`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The co-ordinates of a moving particle at anytime 't' are given by x = alpha t^(3) and y = beta t^(3) . The speed of the particle at time 't' is given by

    A
    ` 3t sqrt(alpha^(2) + beta^(2))`
    B
    ` 3t^(2) sqrt(alpha^(2)+beta^(2))`
    C
    ` t ^(2)sqrt(alpha^(2)+beta^(2))`
    D
    ` sqrt(alpha^(2)+beta^(2))`

  • The coordinates of a moving particle at any time't' are given by x = alphat^(3) and y = betat^(3) . The speed of the particle at time 't' is given by

    A
    `t^(2)sqrt(alpha^(2)+beta^(2))`
    B
    `sqrt(alpha^(2)+beta^(2))`
    C
    `3tsqrt(alpha^(2)+beta^(2))`
    D
    `3t^(2)sqrt(alpha^(2)+beta^(2))`

  • The coordinates of a moving particle at any time 't' are given by x = alpha t and y = beta t . The speed of the particle at time 't' is given by

    A
    `sqrt(alpha^(2) + beta^(2))`
    B
    `3tsqrt(alpha^(2)+beta^(2))`
    C
    `3t^(2) sqrt(alpha^(2)+beta^(2))`
    D
    `t^(2)sqrt(alpha^(2)+beta^(2))`

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