A body moves on a coordinate line such that it has a position s=f(t)=t2-9t +8 on the interval 0≤t≤8

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A body moves on a coordinate line such that it has a position s=f(t)=t2-9t +8 on the interval 0≤t≤8

3.4.1

A body moves on a coordinate line such that it has a position s=f(t)=t²-9t +8 on the interval 0≤t≤8, with s in meters and t in seconds.

a. Find the body's displacement and average velocity for the given time interval.

b. Find the body's speed and acceleration at the endpoints of the interval.

c. When, if ever, during the interval does the body change direction?

The body's displacement for the given time interval is_______ m

The body's average velocity for the given time interval is _______ m/sec

The body's speeds at the left and right endpoints of the interval are _______ m/sec and _______ m/sec respectively.

The body's accelerations at the left and right endpoints of the interval are _______ m/sec²and _______ m/sec2 respectively.

When, if ever, during the interval does the body change direction? Select the correct choice below and fill in any answer boxes within your choice

A The body changes direction at t = _______ sec.

B The body does not change direction during the interval

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A body moves on a coordinate line such that it has a position s=f(t)=t2-9t +8 on the interval 0≤t≤8

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A body moves on a coordinate line such that it has a position s=f(t)=t2-9t +8 on the interval 0≤t≤8

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