Test $1$

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Slate

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The velocity of an airplane flying into a headwind is given by $v(t)=30(25-t^2)milhr$ for $0$ s

a$.$ Determine the position function for $014.$

b$.$ How far does the airplane travel in the first $3$ hr $?$

c$.$ How far has the airplane traveled at the instant its velocity reaches $300m\frac{i}{h}r?$

a$.$ Determine the position function for $0t4.$

$s(t)=$

$$

b$.$ In the first $3$ hr $,$ the airplane travels $$ mi $.$

$($Simplify your answer.$)$

c$.$ When the velocity reaches $300m\frac{i}{h}r,$ the airplane has traveled $$ mi $.$

$($Do not round until the final answer. Then round to two decimal places as needed.$)$