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.?

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 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 x=2(t-t^(2)) where t is expressed in seconds and x is in metre. The acceleration of the particle is

The position of a particle is given by x=2(t-t^(2)) where t is expressed in seconds and x is in metre. The acceleration of the particle is

A particle is moving along a line according to s=f(t) =4t^(3)-3t^(2)+5t-1 where s is measured in meter and t is measured in seconds. Find the velocity and acceleration at time t. At what time the acceleration is zero.

A particle is moving along a line according s=f(t)=4t^3-3t^2+5t-1 where s is measured in meters and t is measured in seconds. Find the velocity and acceleration at time t. At what time the acceleration is zero.

The position coordinate of a moving particle is given by x = 6+18t +9 t^(2) (where x is in metre, t in seconds. What is its velocity and acceleration at t = 2 s.