The distance travelled by a particle upto tiem x is given by `f(x)=x^(3)-2x+1.` The time c at which at velocity of the particle is equal to its average velocity between times x=-1 and x=2 sec. is

The distance covered by a particle in t sec is given by x=3+8t-4t^(2) . What will be its velocity after 1 second.

The distance x cm traversed by a particle along a straight line in t seconds is given by x = 2t^3 - 15t^2+36t+6 At what time will the velocity of the particle is minimum?

The position of a particle along x-axis at time t is given by x=1 + t-t^2 . The distance travelled by the particle in first 2 seconds is

The distance covered by a body along the X-axis is given by x=2t^3 + 5t^2 + t where ‘t’ is the time measured in ‘s’while x is in m.If the average velocity of a particle is equal to its instantaneous velocity,what type of motion it represents?

The horizontal and vertical distances travelled by a particle in time t are given by x=6t and y=8t-5t^(2) . If g= 10m//sec^(2) , then the initial velocity of the particle is

The position x of a particle varies with time t as x=At^(2)-Bt^(3) .the acceleration at time t of the particle will be equal to zero

The position of the particle moving along x-axis is given by x=2t-3t^(2)+t^(3) where x is in mt and t is in second.The velocity of the particle at t=2sec is

The displacement of a particle at time t is x, where x=t^4-kt^3 . IF the velocity of the particle at time t=2 is minimum, then

The displacement of a particle at time t is x, where x=t^4-kt^3 . IF the velocity of the particle at time t=2 is minimum, then