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A particle moves along the x-axis in suc...

A particle moves along the x-axis in such a way that its coordinates x varies with time 't' according to the equation `x=2-5t+6t^(2)`. What is the initial velocity of the particle?

Text Solution

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`x=2-5t+6t^(2)`
Velocity, `v=(dx)/(dt)=(d)/(dt)(2-5t+6t^(2))orv=-5+12t`
For initial velocity, t=0
`:.` Initial velocity `=-5ms^(-1)`
The negative sign implies that at t=0 the velocity of the particle is along negative x direction.
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