Answer:
b. 8.0 m
Explanation:
For objects in free fall, or projectiles, we can use constant acceleration kinematic equations (also known as SUVAT) to solve for the displacement (s) using the initial velocity (u), final velocity (v), and acceleration (a) due to gravity.
Given in the vertical direction:
u = 25 sin 30 = 12.5 m/s
v = 0 m/s
a = -9.8 m/s²
Find: s
v² = u² + 2as
0² = 12.5² + 2 (-9.8) s
s = 8.0 m