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Part $1$

An object is dropped from a small plane flying at

$5292$

ft$.$ Assume that

$$a$($t$)$equalsminus$24$

ft per second per second and$$ v$(0)=0,$ where$$ a$($t$)$ and$$ v$($t$)$ represent the acceleration and velocity of the object. Find$$ s$($t$),$ which gives the distance from the starting point of the object. How long will it take the object to hit the$$ ground?