Answer:
The time taken before the axe hits the ground is 0.385 s.
Explanation:
Given;
initial velocity, u = 50 m/s
height above ground, h = 20 m
To determine the time taken before the axe hits the ground, apply the following kinematic equation;
h = ut + ¹/₂gt²
20 = 50t + ¹/₂(9.8)t²
20 = 50t + 4.9t²
4.9t² + 50t - 20 = 0
Solve this quadratic equation;
a = 4.9, b = 50, c = -20
t = 0.385 s
Therefore, the time taken before the axe hits the ground is 0.385 s.
