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A particle is moving in the x-y plane. A...

A particle is moving in the x-y plane. At certain instant of time, the components of its velocity and acceleration are as follows: `v_(x)=3ms^(-1), v_(y)=4ms^(-1), a_(x)=2ms^(-2) and a_(y)=1ms^(-2)`. The rate of change of speed at this moment is

A

`sqrt(10) m//s^(2)`

B

`4 m//s^(2)`

C

`10 m//s^(2)`

D

`2 m//s^(2)`

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The correct Answer is:
D
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Knowledge Check

  • A particle is moving on a circular path of 10 m radius. At any instant of time, its speed is 5ms^(-1) and the speed is increasing at a rate of 2ms^(-2) . At this instant, the magnitude of the net acceleration will be

    A
    `5ms^(-2)`
    B
    `2ms^(-2)`
    C
    `3.2ms^(-2)`
    D
    `4.3ms^(-2)`

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