Generate matlab code for the following. All information available is give.

The position, speed, and acceleration equations for a particle are given as

x=2t^3-24t+6

v=6t^2-24

a=12t

Plot the position, speed and acceleration for the particle together on one plot for time ranging from 0 to 4 seconds, in increments of 0.1 seconds. Use the following formats:

Position dotted green line with * markers

Speed dashdot black line with circle markers

Acceleration solid yellow line with hexagram markers

X-axis go from -1 to 5

y-axis go from -30 to 75

x-axis label time (sec)

y-axis label none

add a legend be sure to include units

turn grid lines on

title: Position, Speed, and Acceleration of Particle A