48. A projectile is shot at a hill, the base of which is 300 m away. The projectile is shot at 60° above the horizontal with an initial speed of 75 m/s. The hill can be approximated by a plane sloped at 20° to the horizontal. Relative to the coordinate system shown in the following figure, the equation of this straight line is y = (tan20°) x - 109. Where on the hill does the projectile land? y₁ 75 m/s 60° y = (tan 20°)x - 109 300 m- 20°

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University Physics 1 - Motion in 2D & 3D
I need help with this problem and a very detailed explanation of the solutions described below:

& using this - general equation of height (y).  3) eliminate t from y using first equation x=V0Cos(Degree)t  4) Plug in given values  5) equate with given equation to find x , then find y

48. A projectile is shot at a hill, the base of which is 300 m away. The projectile is shot at 60° above the
horizontal with an initial speed of 75 m/s. The hill can be approximated by a plane sloped at 20° to the
horizontal. Relative to the coordinate system shown in the following figure, the equation of this straight line is
y = (tan20°)x - 109. Where on the hill does the projectile land?
y₁
75 m/s
60°
y = (tan 20°)x - 109
-300 m.
20⁰
X
Transcribed Image Text:48. A projectile is shot at a hill, the base of which is 300 m away. The projectile is shot at 60° above the horizontal with an initial speed of 75 m/s. The hill can be approximated by a plane sloped at 20° to the horizontal. Relative to the coordinate system shown in the following figure, the equation of this straight line is y = (tan20°)x - 109. Where on the hill does the projectile land? y₁ 75 m/s 60° y = (tan 20°)x - 109 -300 m. 20⁰ X
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