Final answer:
The maximum height of a projectile shot straight up with no air resistance can be calculated using the formula max height = (initial vertical velocity)² / (2 * acceleration due to gravity).
Step-by-step explanation:
When a projectile is shot straight up with no air resistance, its maximum height depends only on the vertical component of its initial velocity. The maximum height can be calculated using the formula:
max height = (initial vertical velocity)² / (2 * acceleration due to gravity)
Using the given values, we can calculate:
max height = (23.8 m/s)² / (2 * 9.8 m/s²) = 113.7 m