A ball is thrown upward. What is its initial vertical speed? The acceleration of gravity is 9.8 m/s^2 and maximum height is 4.3 m. Neglect air resistance.. Answer in units of m/s.
h = v o · t - g t² / 2 v = v 0 - g t 0 = v o - 9.8 t v o = 9.8 t 4.3 = 9.8 t · t - 9.8 t² / 2 4.3 = 9.8 t² - 4.9 t² 4.3 = 4.9 t² t² = 4.3 : 4.9 t² = 0.87755 t = √ 0.87755 t = 0.93678 s v o = 9.8 · 0.93678 v o = 9.18 m/s Answer: its initial vertical speed is 9.18 m/s.
