Question 1176899
the height that the package was dropped at is 7.5 meters.


the helicopter is traveling at a horizontal speed of 15 meters per second.


the distance a package dropped in free fall is modeled by the formula:


d = 1/2 * 9.80665 * s^2.


d is the distance
s is the number of seconds.
9.80665 * s^2 is the free fall acceleration due to gravity.


when d = 7.5 meters, the formula becomes:


7.5 = 1/2 * 9.80665 * s^2


multiply both sides of the equation by 2 and divide both sides of the equation by 9.80665 to get:


7.5 * 2 / 9.80665 = s^2


solve for s^2 to get:


s^2 = 7.5 * 2 / 9.80665 = 1.529574319.


take the square root of both sides of the equation to get:


s = sqrt(1.529574319) = 1.236759605.


that's how long it takes the package to hit the ground from a height of 7.5 meters in free fall.


since the helicopter is traveling a horizontal distance at the constant rate of 15 meters per second, then the package will have traveled a horizontal distance of 15 meters per second * 1.236759605 seconds = 18.55139407 meters when it hits the grouond.


if i did this correctly, 18.55139487 meters should be your answer.