A particle moves along x-axis with acceleration `a=6(t-1)` where t is in second. If the particle is initially at the origin and it moves along positive x-axis with `v_(0)=2m//s`, find the nature of motion of the particle.

A particle moves along the X-axis as x=u(t-2s)=at(t-2)^2 .

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 moves along x-axis. At time t = 0 , the particle is at origin and its initial veclocity is along positive x-direction. The plot of its ("speed")^(2) versus its x-coordinate is as shown in graph. As the particle moves the acceleration of particle :

A particle is moving along X-axis Its acceleration at time t is proportional to its velocity at that time. The differential equation of the motion of the particle is

A particle is moving along the x-axis with an acceleration a = 2x where a is in ms^(–2) and x is in metre. If the particle starts from rest at x=1 m, find its velocity when it reaches the position x = 3.

A particle moves along the x-axis obeying the equation x=t(t-1)(t-2) , where x is in meter and t is in second a. Find the initial velocity of the particle. b. Find the initial acceleration of the particle. c. Find the time when the displacement of the particle is zero. d. Find the displacement when the velocity of the particle is zero. e. Find the acceleration of the particle when its velocity is zero.

A particle moves along x-axis and its acceleration at any time t is a = 2 sin ( pit ), where t is in seconds and a is in m/ s^2 . The initial velocity of particle (at time t = 0) is u = 0. Q. Then the magnitude of displacement (in meters) by the particle from time t = 0 to t = t will be :

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 .

A particle experience an acceleration a=(4e^(-3t))m/s^(2) along positive x-axis, where t is time in s .If the initial velocity of the particle is 2m/s along positive x-axis,the velocity of the particle when its acceleration becomes zero is?

A particle experience an acceleration a=(4e^(-3t)) ,m/ s^(2) along positive x-axis,where t is time in s.If the initial velocity of the particle is 2m/s along positive x -axis,the velocity of the particle when its acceleration becomes zero is ?