At the moment t=0 a particle leaves the origin and moves in the positive direction of the x-axis.Its velocity at any time is `vecv=vecv_0(1-t/tau)` where `v_0=10` cm/s and `tau`=5 s. Find :
(a)the x-coordinates of the particle at the instant 6s, 10s and 20s.
(b)the instant at which it is a distance 10 cm from the origin.
(c )the distance s covered by the particle during the first 4s and 8s.

At the moment t=0 particle leaves the origin and moves in the positive direction of the x-axis. Its velocity varies with time as v=10(1-t//5) . The dislpacement and distance in 8 second will be

At the moment t=0 a particle leaves the origin and moves in the positive direction of the x-axis. Its velocity varies with time as v=v_0(1-t//tau) , where v_0 is the initial velocity vector whose modulus equals v_0=10.0cm//s , tau=5.0s . Find: (a) the x coordinate of the particle at the moments of time 6.0 , 10 , and 20s , (b) the moments of time when the particles is at the distance 10.0cm from the origion, (c) the distance s covered by the particle during the first 4.0 and 8.0s , draw the approximate plot s(t) .

(a) At the moment t=0 , a particle leaves the origin and moves in the positive direction of the x-axis. Its velocity is given by v=10-2t . Find the displacement and distance in the first 8s . (b) If v=t-t^(2) , find the displacement and distamce in first 2s.

A particle is moving along the x-axis such that s=6t-t^(2) , where s in meters and t is in second. Find the displacement and distance traveled by the particle during time interval t=0 to t=5 s .

At the moment t=0 a particle starts moving along the x axis so that its velocity projection varies as v_(x)=35 cos pi t cm//s , where t is expressed in seconds. Find the distance that this particle covers during t=2.80s after the start.

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 starts from the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s ?

A particle is moving along x-axis. The position of the particle at any instant is given by x = a + bt^(2)," where, "a = 6m and b =3.5 ms^(-2) , t is measurved in seconds. Find. Velocity of the particle at t = 0 and t = 3s

The velocity v of a particle at any instant t moving in a straight line is given by v=s +1 where s meter is the distance travelled in t second what is the time taken by the particle to cover a distacne of 9m ?