Let $s(t)=7sint-5$ where $s$ represents the position $($displacement$),$ at time $t,$ of an object moving on a straight line, where $t$ is measured in seconds. Consider such an object over the time interval $0,\frac{2}{3}.$

Determine the position of the object at $t=0$ and $t=\frac{2}{3}.$

The object's position at $t=0$ is

The object's position at $t=\frac{2}{3}$ is

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Determine the average rate of change of the object over the time interval $0,\frac{2}{3}.$

The object's average rate of change over $0,\frac{2}{3}$ is: $$

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Determine the instantaneous rate of change $($velocity$),$ speed, and acceleration of the object at $t=\frac{}{3}.$

The object's velocity at $t=\frac{}{3}$ is $$

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The object's speed at $t=\frac{}{3}$ is $$

$$

The object's acceleration at $t=\frac{}{3}$ is $$

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At what time over $0,\frac{2}{3},$ if any, did the object change directions? If multiple solutions exist, enter the solutions using a comma$-$separated list.

The object changed directions at $t=$

The object did not change directions over $0,\frac{2}{3}.$