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A dart gun is fired while being held horizontally at a height of 0.996 m above ground level, and at rest relative to the ground. The dart from the gun travels a horizontal distance of 2.74 m.

A dart gun is fired while being held horizontally at a height of 0.996

m above ground level, and at rest relative to the ground. The dart from the gun travels a horizontal distance of 2.74 m. A child holds the same gun in a horizontal position while sliding down a 54.5 ◦ incline at a constant speed of 2.15 m/s. What horizontal distance x will the dart travel if the child fires the gun forward when it is 0.999 m above the ground? The acceleration due to gravity is 9.8 m/s 2 . Answer in units of m.

 
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