The position of a particle along the x-axis is given by the equation, `x=t^(3)-6t^(2)+9t`, where t is measured in seconds and x in meters.
(a) Find the velocity at time t
(b) What is the velocity at t = 2 s, at = t = 4 s?
(c) What is the time instant, when particle is at rest?

The position of a particle is given by the equation f(t)=t^(3)-6t^(2)+9t where t is measured in second and s in meter. Find the acceleration at time t. What is the acceleration at 4 s?

The position of a particle is given by the equation f(t)=t^(3)-6t^(2)+9t where t is measured in second and s in meter. Find the acceleration at time t. What is the acceleration at 4 s?

The po9sition of aparticle is given by the equation. s=f(t)=t^(3)-6t^(2)-9t where r is is measure in seconds and s in meters. (a). Find the velocity at the t (b). What is thhe velocity after 2s ? After 4 s ? (c). When is the particle at rest ? (d). When is the particle moving formward that is, ini the positive direction)? (e). Find the total distance traveled by the particle during the first five sec.?

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

The position of an object moving along the x axis is given by x = a + bt^2 where a = 8.5 and b= 2.5 m s^2 and t is measured in second. What is the velociity at t=0 s and t= 2s? What is the average velocity between t= 2 s and t=4s?

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 .

The displacement x of a particle is dependent on time t according to the relation : x = 3 - 5t + 2t^(2) . If t is measured in seconds and s in metres, find its velocity at t = 2s.

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.