Suppose that the position of a particle is given by ( s=f(t)=6t³+4t+9 ).
(a) Find the velocity at time ( t ).
b) Find the velocity at time ( t=3 ) seconds.
c) Find the acceleration.
a) ( v(t)=18t² + 4 ) m/s, ( v(3)=162 ) m/s, ( a(t)=36t )
b) ( v(t)=18t² + 4 ) m/s, ( v(3)=378 ) m/s, ( a(t)=36t )
c) ( v(t)=18t² + 4 ) m/s, ( v(3)=18 ) m/s, ( a(t)=18t )
d) ( v(t)=18t² - 4 ) m/s, ( v(3)=18 ) m/s, ( a(t)=18t )