All the given functions in this assignment represent the position of a particle in motion along a horizontal line. The positive direction is to the right. 1. s(t) = t3 - 9t2 + 15t + 10 a) Find the velocity function. b) Find the acceleration function. c) Fill in each column of the table below. Type + or - in the velocity and acceleration columns. Direction Speed time v(t) a(t) (R, L, stopped) (Incr, Decr, constant) t d) Find the position when the velocity is 0. e) Find the acceleration when the velocity is 0. f) Find the velocity when the position is 0. (Round to 3 decimal places.) g) Find the instantaneous velocity when t = 2. h) Find the average velocity over [1, 2]. Find the total distance traveled from t = 0 to t = 10.2. s(t}=c*4t+1 a] Find the velocity function. :I h] Find the acceleration function. :| cl Fill in each column of the table below. Type + or in the velocity and acceleration columns Speed [Incr Decr constant} :1] Find the position when the velocityr is EL |:| e} Find the acceleration when the velocity is U. |:| f} Find the velocity when the position is ll |:| |:| {Round to 3 decimal places] 3] Find the instantaneous velocity when t = 2. |:| h] Find the average velocity over [1, 2]. |:| i} Find the total distance traveled from t = [i to t = ID. |:| 3. s(t) = +3 - 21+2 + 6t + 2 a) Find the velocity function. b) Find the acceleration function. c) Fill in each column of the table below. Type + or - in the velocity and acceleration columns. time v(t) Direction a(t) Speed (R, L, stopped) (Incr, Decr, constant) w t = d) Find the position when the velocity is 0. e) Find the acceleration when the velocity is 0. f ) Find the velocity when the position is 0. (Round to 3 decimal places.) g) Find the instantaneous velocity when t = 2. h) Find the average velocity over [1, 2]. i) Find the total distance traveled from t = 0 to t = 10