The height of the arrow will be 471 feet at 8.35s and 3.53s
An equation is an expression that shows the relationship between two or more numbers and variables.
h represent the height of the arrow after t seconds.
h(t) = -16t² + v₀t + h₀
v₀ is the initial velocity = 190 ft/s, h₀ is the initial height = 0m, hence:
h(t) = -16t² + 190t
At 471 feet:
471 = -16t² + 190t
0 = -16t² + 190t - 471
t = 8.35 or 3.53
The height of the arrow will be 471 feet at 8.35s and 3.53s
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