The equation of motion of a particle is s = t⁴ − 3t³ + t² − t, where s is in meters and t is in seconds. (Assume t ≥ 0.)

(a)Find the velocity, v(t), and acceleration, a(t), as functions of t.

v(t)=4t^3-9t^2+2t-1

a(t)= ?

b)Find the acceleration (in m/s²) after 1.5 s.

a(1.5) = ? m/s²

(c)Graph the position, velocity, and acceleration functions on the same screen.