An American Red Cross plane needs to drop emergency supplies to victims of a hurricane in a remote part of the worlds. The plane is traveling horizontally at 100.0m/a at a height of 50.0 above the ground.What horizontal distance does the package travel before striking the ground
An American Red Cross plane needs to drop emergency supplies to victims of a hurricane in a remote part of the world. The plane is traveling horizontally at 100.0 m/s at a height of 50.0 m above the ground. What horizontal distance does the package travel before striking the ground?
To determine the horizontal distance traveled by the package before striking the ground, we need to find the time it takes for the package to fall and then multiply it by the horizontal velocity of the plane.
First, let's find the time it takes for the package to fall from a height of 50.0 meters. We can use the equation for the time of free fall:
h = (1/2) * g * t^2
Where:
h = height (50.0 meters in this case)
g = acceleration due to gravity (approximately 9.8 m/s^2)
t = time
Rearranging the equation to solve for time (t):
t = sqrt((2 * h) / g)
Substituting the given values:
t = sqrt((2 * 50.0) / 9.8) = 3.19 seconds
Now that we know the time, we can find the horizontal distance traveled by the package. The horizontal velocity of the plane is given as 100.0 m/s.
Distance = velocity * time
Distance = 100.0 m/s * 3.19 s = 319.0 meters
Therefore, the package will travel a horizontal distance of 319.0 meters before striking the ground.