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A cannonball is launched upward with a velocity of 85.5m/s at an angle of 30 degrees above the horizontal.How long is the cannonball in the air?

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ANSWER


8.72s

Step-by-step explanation

To find the time of flight, apply the formula for a projectile's time of flight:


T=(2u\sin \theta)/(g)

where u = initial velocity

θ = angle of launch

g = acceleration due to gravity

Therefore, the time of flight of the cannonball is:


\begin{gathered} T=(2\cdot85.5\cdot\sin 30)/(9.8) \\ T=8.72s \end{gathered}

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