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At t=0, a particle at (1,0,0) moves towa...

At `t=0`, a particle at `(1,0,0)` moves towards point `(4,4,12)` with a constant velocity of magnitude `65m//s`. The position of the particle is measured in metres and time in sec. Assuming constant velocity, the position of the particle at `t=2 sec` is `:`

Text Solution

Verified by Experts

The correct Answer is:
31
`x=x_(i)+Deltax`
`Deltax=v_(x)Deltat" "(Deltat=2sec)`
`v_(x)=(x_(f)-x_(i))/(|Deltat|) and |Delta t|=(sqrt((4-1)^(2)+4^(2)+12^(2)))/(65)=(1)/(5)sec: x=5xx3xx2+1=31`
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