A particle is moving such that `s=t^(3)-6t^(2)+18t+9`, where s is in meters and t is in meters and t is in seconds. Find the minimum velocity attained by the particle.

A partical is moving in a straight line such that s=t^(3)-3t^(2)+2 , where s is the displacement in meters and t is in seconds. Find the (a) velocity at t=2s , (b) acceleration at t=3s , ( c) velocity when acceleration is zero and (d) acceleration when velocity is zero.

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 .

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.

Equation of the motion of the particle is S = t^(3)-6t^(2)+9t , where S is in mets and t is in seconds. (i) Find the instantaneous velocity when t = 2. (ii) When particle is at rest ? (iii) Find distance travelled by particle in first 5 second.

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.

A particle is moving in a vertical line whose equation of motion is given by s = 32 + 46t+9t^2 where 's' is measured in meters and 't' is measured in seconds. Find the velocity and acceleration of the particle at t=3 sec.

The position of a particle moving along a straight line is defined by the relation, x=t^(3)-6t^(2)-15t+40 where x is in meters and t in seconds.The distance travelled by the particle from t=0 to t=2 s is?

The displacement of a particle moving along an x axis is given by x=18t+5.0t^(2) , where x is in meters and t is in seconds. Calculate (a) the instantaneous velocity at t=2.0s and (b) the average velocity between t=2.0s and t=3.0s .

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.?