An airplane is flying level at 80 m above the ground with a speed of 350 km/h max wishes to drop food and medical supplies to hit a target on the ground I want horizontal distance from the target should max release the supplies
To find the horizontal distance from the target at which the airplane should release the supplies, we need to determine how long it will take for the supplies to reach the ground after being dropped and calculate the horizontal distance traveled during that time.
First, we need to convert the speed of the airplane from km/h to m/s:
350 km/h = 350,000 m/h
350,000 m/h ÷ 3600 s/h ≈ 97.22 m/s
Next, we need to calculate the time it takes for the supplies to reach the ground:
The formula to calculate the time taken for an object to fall from a height h is given by:
t = √(2h/g)
where h = 80 m (height of the airplane) and g = 9.81 m/s^2 (acceleration due to gravity).
t = √(2*80/9.81) ≈ √(16.277) ≈ 4.03 seconds
Now, we need to calculate the horizontal distance traveled during this time:
d = v * t
d = 97.22 m/s * 4.03 s ≈ 391.2 meters
Therefore, the airplane should release the supplies approximately 391.2 meters from the target in order for them to hit the desired target on the ground.