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:

The position of a particle moving on the x-axis is given by x=t^(3)+4t^(2)-2t+5 where x is in meter and t is in seconds (i) the velocity of the particle at t=4 s is 78 m//s (ii) the acceleration of the particle at t=4 s is 32 m//s^(2) (iii) the average velocity during the interval t=0 to t=4 s is 30 m//s (iv) the average acceleration during the interval t=0 to t=4 s is 20 m//s^(2)

The x and y coordinates of a particle at any time t are given by x = 2t + 4t^2 and y = 5t , where x and y are in metre and t in second. The acceleration of the particle at t = 5 s is

The x and y coordinates of the particle at any time are x=5t-2t^(2) and y=10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t=2s is:

The position (in meters) of a particle moving on the x-axis is given by: x=2+9t +3t^(2) -t^(3) , where t is time in seconds . The distance travelled by the particle between t= 1s and t= 4s is m.

The x and y coordinates of a particle at any time t are given by x=7t+4t^2 and y=5t , where x and t is seconds. The acceleration of particle at t=5 s is

The x and y coordinates of the particle at any time are x=5t-2t^(2) and y = 10t respectively, where x andy are in metres and / in seconds. The acceleration of the particle at t = 5 s is

A particle starts from rest at t=0 and moves along a straight line with a variable acceleration given by a (t)=(3t+1)ms^(-2) ,where t],[ is in seconds.The velocity of the particle at t=4s is

[" A particle starts from "],[" rest at "t=0" and moves "],[" along a straight line with "],[" a variable acceleration "],[" given by a "(t)=(3t+1)ms^(-2)],[" where "t" is in seconds."],[" The velocity of the "],[" particle at "t=4s" is "]

The positione of a particle is expressed as vecr = ( 4t^(2) hati + 2thatj) m, where t is time in second. Find the velocity o the particle at t = 3 s