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Degger [83]
3 years ago
8

An arrow is shot vertically upward at a rate of 280 feet per second. Use the projectile formula

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

Time is 16.75 seconds when the arrow reaches 200 ft

Step-by-step explanation:

  • Step 1: Find time at height of 200 ft

Height = 200 ft

v = 280 ft/s

Projectile formula, h = -16t² + vt

⇒ 200 = -16t² + 280t

⇒ 16t² - 280t + 200 = 0

⇒ 2t² - 35t + 25 = 0 (dividing by common factor 8)

Using quadratic formula to find t

t = (35 ±√35² - 4×2×25)/2×2

t = (35 ±√1225 - 200)4 = 35 ± 32.02/4

∴ t = 67/4 or 3/4  

t = 16.75 seconds

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