To determine the time it takes for the bullet to reach the ground, we can use the equations of motion. Since the bullet is fired horizontally, its initial vertical velocity is zero.
Given: Initial vertical velocity (u) = 0 m/s Acceleration due to gravity (g) = 10 m/s² Vertical displacement (s) = -80 m (negative because the displacement is downward)
We can use the equation of motion:
s = ut + (1/2)gt²
Substituting the values:
-80 = 0*t + (1/2)10t² -80 = 5t²
Dividing both sides of the equation by 5:
-16 = t²
Taking the square root of both sides:
t = √(-16)
The square root of a negative number is imaginary, which means the bullet will never reach the ground if it's fired horizontally from the top of the tower.