a plane is flying horizontally at an altitude of 420m. A bomb was released, how far horizontally point bomb hit the ground?
The horizontal velocity of plane and bomb do not change, so the bomb hits right under the plane.
Hint:
Turn your plane after releasing the bomb.
To determine how far horizontally the bomb hits the ground, we need to consider the time it takes for the bomb to fall and the horizontal speed of the plane.
The horizontal speed of the plane does not affect the bomb's horizontal distance since the bomb shares the same horizontal velocity as the plane when it is released. Therefore, we need to focus on the time it takes for the bomb to fall.
To calculate the time it takes for the bomb to fall, we can use the formula for the time of flight of an object in freefall:
t = sqrt(2h/g)
Where:
t = time of flight
h = initial height (altitude of the plane)
g = acceleration due to gravity (approximately 9.8 m/s^2)
Plugging in the values:
t = sqrt(2 * 420 / 9.8)
t = sqrt(84.49)
t ≈ 9.19 seconds
Now, we can calculate the horizontal distance the bomb travels using the equation:
d = v * t
Where:
d = horizontal distance
v = horizontal velocity of the bomb (same as the horizontal velocity of the plane when the bomb is released)
t = time of flight
However, since we are not given the horizontal velocity of the plane or the horizontal component of its velocity, we cannot provide an exact answer without additional information.
If you have the horizontal velocity of the plane or any other relevant information, we can use that to find the horizontal distance traveled by the bomb.