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# A particle moves along a number line such that its position s at any time t, t(greaterthan or equal to), is given by s(t)=2t^3-15t^2+24t+1.

A particle moves along a number line such that its position s at any time t, t(greaterthan or equal to), is given by s(t)=2t^3-15t^2+24t+1.A) What is the total distance traveled by the particle over the time interval 0(less than or equal to)t(less than or equal to) 5B) Find the instantaneous velocity at t=2C) When is the particle at rest?It has been a while since we have been on this topic and i have forgotten how to set any of these up. Any help would be wonderful =)