The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

Gas guns are used to investigate the properties of materials subjected lo 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 accelerates 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.