Q1- The equation of motion of a particle iss=t³3t, wheresis in meters andtis in seconds. (Assumet0.)

(a) Find the velocity and acceleration as functions oft.

v(t) =

a(t) =

(b) Find the acceleration after2s.

m/s²

^{(c) Find the acceleration when the velocity is 0.}

m/s²

Q2- Find a second-degree polynomialPsuch thatP(2) =9,P'(2) =12, andP''(2) =8.

P(x) =

Q3- Find a cubic functiony=ax³+bx²+cx+d whose graph has horizontal tangents at the points(2,8) and (2,2).

y=