In a relief operation mission involving a helicopter h distance above the ground traveling with a horizontal velocity vy. What should be the expression for the horizontal distance dy at which you release the relief package so that it will arrive to the survivors at the right place? (Neglect the effect of air resistance) Solution To determine this, we must first derive the time it takes for the relief package to reach the survivors. We use this equation h = Vinitialyt + (1/2)ay If we just drop the package from the helicopter, the equation above becomes + (1/2)ay Substituting ay = g then simplitying results to t= sgrt( which is the time it takes for the object to reach the ground. Since the package will just travel at a constant velocity in the x-axis, thus dx = Vxt Substituting the time taken by the package to reach to ground results to: dy ( ( sart ( which is the expression for the horizontal distance at which you should drop the package.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.6P: In the blizzard of ’88, a rancher was forced to drop hay bales from an airplane to feed her cattle....
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In a relief operation mission involving a helicopter h distance above the ground traveling with a horizontal
velocity vy. What should be the expression for the horizontal distance dy at which you release the relief
package so that it will arrive to the survivors at the right place? (Neglect the effect of air resistance)
Solution
To determine this, we must first derive the time it takes for the relief package to reach the survivors. We use this
equation
h = Vinitialyt + (1/2)ay
If we just drop the package from the helicopter, the equation above becomes
+ (1/2)ay
Substituting ay = g then simplitying results to
t= sgrt(
which is the time it takes for the object to reach the ground.
Since the package will just travel at a constant velocity in the x-axis, thus
dx = Vxt
Substituting the time taken by the package to reach to ground results to:
dy (
( sart (
which is the expression for the horizontal distance at which you should drop the package.
Transcribed Image Text:In a relief operation mission involving a helicopter h distance above the ground traveling with a horizontal velocity vy. What should be the expression for the horizontal distance dy at which you release the relief package so that it will arrive to the survivors at the right place? (Neglect the effect of air resistance) Solution To determine this, we must first derive the time it takes for the relief package to reach the survivors. We use this equation h = Vinitialyt + (1/2)ay If we just drop the package from the helicopter, the equation above becomes + (1/2)ay Substituting ay = g then simplitying results to t= sgrt( which is the time it takes for the object to reach the ground. Since the package will just travel at a constant velocity in the x-axis, thus dx = Vxt Substituting the time taken by the package to reach to ground results to: dy ( ( sart ( which is the expression for the horizontal distance at which you should drop the package.
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