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A mosquito is moving with a velocity vec...

A mosquito is moving with a velocity `vecv = 0.52t^(2)hati + 3t hatj+ 9hatk m//s` and accelerating in uniform conditions. What will be the direction of mosquito after 2 s?

A

`tan^(-1) ((2)/(3))` from y-axis

B

`tan^(-1) ((5)/(2))` from y-axis

C

`tan^(-1) ((5)/(2))` from x- axis

D

`tan^(-1) ((2)/(3))` from x- axis

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Knowledge Check

  • A body starts with a velocity (2hati+3hatj+11hatk)m//s and moves with an acceleration (5hati+5hatj-5hatk)m//s^(2) . What is its velocity after 0.2 sec ?

    A
    `7hati+8hatj+6hatk`
    B
    `2hati-3hatj+11hatk`
    C
    `3hati-4hatj-10hatk`
    D
    `3hati+4hatj+10hatk`

  • A particle is projected with a velocity vecv=8hati+6hatj m//s . The time after which it will starts moving perpendicular to its initial direction of motions is

    A
    `0.5s`
    B
    `1.25s`
    C
    `1s`
    D
    `5//3s`

  • A particle at origin (0,0) moving with initial velocity u = 5 m/s hatj and acceleration 10 hati + 4 hatj . After t time it reaches at position (20,y) then find t & y

    A
    t = 2, y = 18
    B
    t = 4, y = 16
    C
    t = 6, y = 12
    D
    t =8, y =10

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