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A particle is moving along a straight li...

A particle is moving along a straight line OX, At a time t (in seconds) the distance x (in metres) of particle from point O is given by `x=10+6t-3t^(2)`. How long would the particle travel before coming to rest?

Text Solution

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Initial value of x, at t=0, `" " x_1 = 10` m
Velocity v = `(dx)/(dt) = 6-6t" "` When v =0, t = 1s
Final value of x, at t = 1s, `" "x_2 = 10 + 6 xx 1 - 3(1^(2)) = 13` m
Distance travelled `= x_ - x_1 = 13 - 10 = 3`m
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