# At time t, the position of a body moving along the s-axis is s = t3 - 6t2 + 9t m.a. Find the body’s acceleration each time the velocity is zero.b. Find the body’s speed each time the acceleration is zero.c. Find the total distance traveled by the body from t = 0 to t = 2.

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At time t, the position of a body moving along the s-axis is s = t3 - 6t2 + 9t m.

a. Find the body’s acceleration each time the velocity is zero.

b. Find the body’s speed each time the acceleration is zero.

c. Find the total distance traveled by the body from t = 0 to t = 2.

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Step 1

Find expression of velocity and acceleration using first and second derivativenof s respectively.

Step 2

a) Find t when v=0

Set v=0 and solve for t.

Step 3

At t=1 and 3 find acceleration.

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