A particle travels m a straight line, such that for a short time `2 s le tle 6 s,` its motion is described by `v= (4/a) m//s,` where a is in `m//s^2.` If `v= 6 m//s.` when `t= 2 s,` determine the particle's acceleration when `t= 3 s.`

A particle starts from rest and moves along a straight line such that its acceleration a as a function of velocity v is given as a=(5)/(3v+2) where a is in m/s^(2) and v is in m/s .The distance travelled by the particle till it attains velocity of 10m/s is

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 .

The velocity of a particle moving on the x-axis is given by v=x^(2)+x , where x is in m and v in m/s. What is its position (in m) when its acceleration is 30m//s^(2) .

The velocity of a particle moving on the x-axis is given by v=x^(2)+x , where x is in m and v in m/s. What is its position (in m) when its acceleration is 30m//s^(2) .

A particle moves in a circle of radius 30cm . Its linear speed is given by v=2t , where t in second and v in m//s . Find out its radial and tangential acceleration at t=3s .

A particle moves in a circle of radius 30cm . Its linear speed is given by v=2t , where t in second and v in m//s . Find out its radial and tangential acceleration at t=3s .

A particle moving in a straight line has its velocit varying with time according to relation v = t^(2) - 6t +8 (m//s) where t is in seconds. The CORRECT statement(s) about motion of this particle is/are:-

A particle moving in a straight line has its velocit varying with time according to relation v = t^(2) - 6t +8 (m//s) where t is in seconds. The CORRECT statement(s) about motion of this particle is/are:-

A particle moving in a straight line has its velocit varying with time according to relation v = t^(2) - 6t +8 (m//s) where t is in seconds. The CORRECT statement(s) about motion of this particle is/are:-

A particle's trajectory is described by x=((1)/(2)t^(3)-2t^(2))m and y=(t^(2)-2t)m , where t is in s . The speed of the particle at t=4s is: