A bullet is fired in the air vertically from ground level with an initial velocity 228 m/s. Find the bullet's maximum velocity and maximum height.

Answer 1

S(t) = S₀+V₀t-.5gt²

S’(t) = V₀ - gt = 0

228 - 9.8t = 0

t = 228/9.8 = 23.265 seconds

Maximum height = 228(23.265) - .5(9.8)(23.265)² = 2652.245 meters

maximum velocity = 228m/s