The blade on the horizontal$-$axis windmill shown in $($ Figure $1)$ is turning with an angular velocity of ${}_0=2ra\frac{d}{s}.$

Determine the distance point $P$ on the tip of the blade has traveled if the blade attains an angular velocity of $8ra\frac{d}{s}$ in $4$ s $.$ The angular acceleration is constant.

Express your answer in feet to three significant figures.

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Part B

Also, what is the magnitude of the acceleration of this point when $t=4s?$

Express your answer in feet per square second to three significant figures.

$a=$

$f\frac{t}{s^2}$

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