A projectile is launched towards a hill that is d=252m away. The launch angle is θ=51.7∘ above the horizontal with an initial speed of v0=71.5m/sv0=71.5m/s. The hill can be approximated as a plane sloped at φ=27.1∘. Neglect air resistance.  1. Write an equation for y as a function of x, d, and φ for the line that defines the slope of the hill.  2. Write an equation for y as a function of x, g, v0, and θ of the trajectory of the projectile.   3. What is the x coordinate, in meters, of the landing spot of the projectile

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A projectile is launched towards a hill that is d=252m away. The launch angle is θ=51.7∘ above the horizontal with an initial speed of v0=71.5m/sv0=71.5m/s. The hill can be approximated as a plane sloped at φ=27.1∘. Neglect air resistance. 

1. Write an equation for y as a function of x, d, and φ for the line that defines the slope of the hill. 

2. Write an equation for y as a function of x, g, v0, and θ of the trajectory of the projectile.  

3. What is the x coordinate, in meters, of the landing spot of the projectile? 

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