To determine the time it takes for the bullet to reach the ground, we can analyze its vertical motion separately from its horizontal motion.
Given: Tower height (h) = 80 m Initial vertical velocity (u) = 0 m/s (since the bullet is fired horizontally) Acceleration due to gravity (g) = 10 m/s²
We can use the equation of motion in the vertical direction:
h = ut + (1/2)gt²
Substituting the known values:
80 = 0 * t + (1/2) * 10 * t²
Simplifying the equation:
80 = 5t²
Dividing both sides by 5:
16 = t²
Taking the square root of both sides:
t = √16
t = 4 s
Therefore, it will take 4 seconds for the bullet to reach the ground.