Gas guns are used to investigate the properties of materi- als subjected to high-velocity impacts. A projectile is accelerated through the barrel of the gun by gas at high pressure. Assume that the acceleration of the projectile in m/s² is given by a = c/s, where s is the position of the projectile in the barrel in meters and c is a constant that depends on the initial gas pressure behind the projectile. The projectile starts from rest at s = 1.5 m and acceler- ates until it reaches the end of the barrel at s = 3 m. Determine %3D the value of the constant c necessary for the projectile to leave the barrel with a velocity of 200 m/s.

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Gas guns are used to investigate the properties of materi-
als subjected to high-velocity impacts. A projectile is accelerated
through the barrel of the gun by gas at high pressure. Assume that
the acceleration of the projectile in m/s² is given by a = c/s,
where s is the position of the projectile in the barrel in meters and
c is a constant that depends on the initial gas pressure behind the
projectile. The projectile starts from rest at s = 1.5 m and acceler-
ates until it reaches the end of the barrel at s = 3 m. Determine
the value of the constant c necessary for the projectile to leave the
barrel with a velocity of 200 m/s.
Transcribed Image Text:I want a quick solution, please fast, I don't have enough time Gas guns are used to investigate the properties of materi- als subjected to high-velocity impacts. A projectile is accelerated through the barrel of the gun by gas at high pressure. Assume that the acceleration of the projectile in m/s² is given by a = c/s, where s is the position of the projectile in the barrel in meters and c is a constant that depends on the initial gas pressure behind the projectile. The projectile starts from rest at s = 1.5 m and acceler- ates until it reaches the end of the barrel at s = 3 m. Determine the value of the constant c necessary for the projectile to leave the barrel with a velocity of 200 m/s.
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