Please show ALL steps for the solution to earn 10Points)THANKS?
A part of NASA experiment, golfer Tiger woods drives a golf ball on the moon, where g=1.60m/s^2. He “Lanches” a golf ball with a speed of 285Km/h at an angle of 42 Degrees with the horizontal. What horizontal distance will his drive travel before landing back on the surface of the moon. Ignore the curvature of the moon.
Answer=3.9 Kilometers.
Vy = Vsinθ
Vx = Vcosθ
For the time to reach maximum height,
Vy – at1 = 0
Vy = at1
t1 = Vy/a
The time to fall back to the surface is the same, and the horizontal distance traveled is
x = 2Vxt1
x = 2(Vcosθ)((Vsinθ)/a)
x = 2V^2(sinθcosθ)/a
x = 2(285Km/h)^2(sin(42°)cos(42°))/(1.60 m/s^2)
x = 2((285,000 m/h)(1 hr/3,600 s)^2(sin(42°)cos(42°))/(1.60 m/s^2)
x ≈ 3895.642 m ≈ 3.90 km
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