Question
The position of the particle at any instant is given by the equation
x = 3t2- 2.5t2 - 4.
what is the velocity and acceleration of particle at 3s?
Solution
The position of the particle is given by,
x=3t3 -2.5t2 -4
Velocity of the particle at any instant is,
Velocity at t = 3s is,
v(3) = 9(3)2 - 5 x 3 = 81 - 15 = 66 units
Acceleration of the particle at any instant is, 
Acceleration at t = 3 s is,
a(3) = 18 x 3-5 = 54 - 5 = 49 units
