A particle oscillates along X-Axis according to equation `x=0.05 Sin(5t-π/6)` where x is in metres and t is in seconds. Find its velocity at t=0.

A particle moves along the x-axis with a position given by the equation x(t) = 5 + 3t, where x is in metres, and t is in seconds. The positive directions east. Which of the following statements about the particle is false ?

A particle moves along the x-axis such that its co-ordinate (x) varies with time (t), according to the expression x=2 -5t +6t^(2), where x is in metres and t is in seconds. The initial velocity of the particle is :–

The motion of a particle along a straight line is described by the function x=(2t -3)^2, where x is in metres and t is in seconds. Find (a) the position, velocity and acceleration at t=2 s. (b) the velocity of the particle at the origin .

A particle moves in x-y plane according to the equations x= 4t^2+ 5t+ 16 and y=5t where x, y are in metre and t is in second. The acceleration of the particle is

An object moves along x-axis such that its position varies with time according to the relation x=50t-5t^(2) Here, x is in meters and time is in seconds. Find the displacement and distance travelled for the time interval t = 0 to t = 6 s.

The position x of a particle moving along x - axis at time (t) is given by the equation t=sqrtx+2 , where x is in metres and t in seconds. Find the work done by the force in first four seconds

A particle Moves along x axis satisfying the equation x=[t(t+1)t-2 where t is in seconds and x is in Meters Then the Magnitude of initial velocity of the particle in M/s is

A particle is moving along x-axis. Its X-coordinate varies with time as, X=2t^2+4t-6 Here, X is in meters and t in seconds. Find average velocity between the time interval t=0 to t=2s.

The displacement of a particle moving along an x axis is given by x=18t+5.0t^(2) , where x is in meters and t is in seconds. Calculate (a) the instantaneous velocity at t=2.0s and (b) the average velocity between t=2.0s and t=3.0s .

A particle moves along x-axis satisfying the equation x=[t(-1)(t-2)] (t is in seconds and x is in meters). Find the magnitude of initial velocity of the particle in m//s .