A particle is moving along x-axis. At time `t=0,` Its x-coordinate is `x=-4 m.` Its velocity-time equation is `v=8-2t` where, v is in m//s and t in seconds.
(a) At how many times, particle is at a distance of `8m` from the origin?
(b) Find those times.

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

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.

A particle in moving in a straight line such that its velocity is given by v=12t-3t^(2) , where v is in m//s and t is in seconds. If at =0, the particle is at the origin, find the velocity at t=3 s .

A particle is travelling along X-axis and its x-coordinate is related to time as follows: x=5t^(2)-20 Here x is measured in metres and time t in seconds. When does the particle cross the origin?

Acceleration of particle moving along the x-axis varies according to the law a=-2v , where a is in m//s^(2) and v is in m//s . At the instant t=0 , the particle passes the origin with a velocity of 2 m//s moving in the positive x-direction. (a) Find its velocity v as function of time t. (b) Find its position x as function of time t. (c) Find its velocity v as function of its position coordinates. (d) find the maximum distance it can go away from the origin. (e) Will it reach the above-mentioned maximum distance?

Acceleration of particle moving along the x-axis varies according to the law a=-2v , where a is in m//s^(2) and v is in m//s . At the instant t=0 , the particle passes the origin with a velocity of 2 m//s moving in the positive x-direction. (a) Find its velocity v as function of time t. (b) Find its position x as function of time t. (c) Find its velocity v as function of its position coordinates. (d) find the maximum distance it can go away from the origin. (e) Will it reach the above-mentioned maximum distance?

Acceleration of particle moving along the x-axis varies according to the law a=-2v , where a is in m//s^(2) and v is in m//s . At the instant t=0 , the particle passes the origin with a velocity of 2 m//s moving in the positive x-direction. (a) Find its velocity v as function of time t. (b) Find its position x as function of time t. (c) Find its velocity v as function of its position coordinates. (d) find the maximum distance it can go away from the origin. (e) Will it reach the above-mentioned maximum distance?

Velocity of particle moving along positive x-direction is v = (40-10t)m//s . Here,t is in seconds. At time t=0, tha x coordinate of particle is zero. Find the time when the particle is at a distance of 60 m from origin.

Velocity of particle moving along positive x-direction is v = (40-10t)m//s . Here,t is in seconds. At time t=0, tha x coordinate of particle is zero. Find the time when the particle is at a distance of 60 m from origin.