A particle moves along a straight line AB. At a time t (in seconds) the distance x (in metres) of the particle from O is given by x = 600 + 12t – `t^3`. How long would the particle travel before coming to rest: -

A particle moves along a straight line OX . At a time t (in seconds) the distance x (in metre) of the particle is given by x = 40 +12 t - t^3 . How long would the particle travel before coming to rest ?

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?

A particle moves in a straight line, so that after t second, the distance x from a fixed point O on the line is given by x=(l-2)^(2)(t-5) . Then

A particle moves along a straight line on y-axis. The distance of the particle from O varies with time and is given by : y = 20t - t^2 . The distance travelled by the particle before it momentarily comes to rest is

A particle is moving in a straight line. At time t, the distance between the particle from its starting point is given by x =t- 9t^(2) + t^(3) . lts acceleration will be zero at

A particle is moving in a straight line. At time t the distance between the particle from its starting point is given by x=t-6t^(2)+t^(3) . Its acceleration will be zero at

A particle is travelling along a straight line OX. The distance r of the particle from O at a timet is given by x = 37 + 27t- t^(3) , where t is time in seconds. The distance of the particle from O when it comes to rest is

A particle moves in a straight line and its position x and time t are related as follows: x=(2+t)^(1//2) Acceleration of the particle is given by

A particle moves along a straight line according to the law s=16-2t+3t^(3) , where s metres is the distance of the particle from a fixed point at the end of t second. The acceleration of the particle at the end of 2s is

A particle moves along a straight line such that its position x at any time t is x=3t^(2)-t^(3) , where x is in metre and t in second the