Amis-hit golf ball flies straight upward. it reaches a height of 31.0 meters before falling back down. how fast was it going when it was hit? (assume you can ignore drag)

v₀ = initial speed of the golf ball when it was hit = ?

v = final seed of the golf ball at the maximum height = 0 m/s

h = maximum height gained above the initial point = 31 m

m = mass of the golf ball

Using conservation of energy

initial kinetic energy just after being hit = final kinetic energy at maximum height + potential energy at the maximum height

(0.5) m v²₀ = (0.5) m v² + mgh

mass "m" cancel out so we get

(0.5)  v²₀ = (0.5)  v² + gh

inserting the values

(0.5)  v²₀ = (0.5)  (0)² + (9.8 x 31)

 v²₀ = 303.8/(0.5)

 v²₀ = 607.6

v₀ = sqrt(607.6 )

v₀ = 24.65 m/s

report!

explanation:

physics means: "the branch of science concerned with the nature and properties of matter and energy. the subject matter of physics, distinguished from that of chemistry and biology, includes mechanics, heat, light and other radiation, sound, electricity, magnetism, and the structure of atoms."

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