# a particle moves with an equation of motion of s(t) = t3-9t2+24t feet, where t is measured in seconds.a) determine the velocity and acceleration functionsb) when is the particle moving in the positive direction? The negative direction?c) Draw the motion diagram for the particled) Find the total distance traveled by the particle from time t=0s to t=5s

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a particle moves with an equation of motion of s(t) = t3-9t2+24t feet, where t is measured in seconds.

a) determine the velocity and acceleration functions

b) when is the particle moving in the positive direction? The negative direction?

c) Draw the motion diagram for the particle

d) Find the total distance traveled by the particle from time t=0s to t=5s

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Step 1

We are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentioned the subparts you need help with. Please resubmit the question and specify the other subparts you’d like to get answered

We have to find :

a) determine the velocity and acceleration functions

b) when is the particle moving in the positive direction? The negative direction?

c) Draw the motion diagram for the particle

Equation of motion is given below:

Step 2

We will use following derivative rules to find velocity and acceleration function.

Rules are given below:

Step 3

Part (a)

The velocity and acceleration functions Is determined by differentiating position function and velcity func...

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