(Solved): The position of a particle along a straight line is given by s=(1.5t313.5t2+22.5t)ft, where t i ...

The position of a particle along a straight line is given by $$s=\left(1.5t^3?13.5t^2+22.5t\right)\mathrm{ft}$$, where $$t$$ is in seconds. Part A Determine the position of the particle when $$t=6\mathrm{s}$$. Express your answer using three significant figures and include the appropriate units. Determine the total distance it travels during the 6-s time interval. Hint: Plot the path to determine the total distance traveled. Express your answer using three significant figures and include the appropriate units.