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.