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A particle has initial velocity (5hati+7...

A particle has initial velocity `(5hati+7hatj)` and acceleration `(0.7hati+0.5hatj)`. The magnitude of velocity after 10 second will be

Text Solution

Verified by Experts

The correct Answer is:
B
`y=sqrt(3)x-2x^(2)`
Trajectory equation is `y=x tan theta-(gx^(2))/(2u^(2) cos^(2) theta)`
`tan theta=sqrt(3)rArr theta=60^(@)` & `(g)/(2u^(2)cos^(2) theta)=2`
`rArr u=5/(2xx1/4)=sqrt(10)`
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Knowledge Check

  • A particle of mass m and charge q has an initial velocity vecv =v_(0)hatj . If an electric field E = E_(0)hati and B = B_(0)hati magnetic field act on the particle, its speed will double after a time

    A
    `t=(sqrt(3)mv_(0))/(qE)`
    B
    `t=(sqrt(2)mv_(0))/(qE)`
    C
    `t=(mv_(0))/(qE)`
    D
    `t=(mv_(0))/(2qE)`

  • vecA = 2 hati +3 hatJ +4 hatk and vecB =4 hati +5 hatj +3 hatk , then the magnitudes of vecA -vecB …unit

    A
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    B
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    C
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    D
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