Physics
posted by Britney .
A package is dropped from a helicopter moving upward at 15 m/s. If it takes 16.0 s before the package strikes the ground, how high above the ground was the package when it was realeased?

The time to V = 0 derives from Vf = Vo  gt or 0 = 15  9.8t yielding t(up) = 1.53sec. resulting in t(dwn) = 16  1.53 = 14.47 sec.
h(dwn) then derives from h = Vo(t) + g(t^2)/2 or h = 0 + 4.9t(dwn)^2 yielding h(dwn) = 4.9(14.47)^2 = 1025.96 met.
h(up) then derives from h(up) = 15(1.53)  4.9(14.47)^2 = 11.48 met.
The vertical rise from ejection to zero vertical velocity derives from h(up) = 15(1.53)  4.9(1.53)^2 = 11.48 met.
Therefore, the altitude of release is h(rel) = 1025.96  11.48 = 1014.48 met.
Respond to this Question
Similar Questions

Physics
A passenger in a helicopter traveling upwards at 19 m/s accidentally drops a package out the window. If it takes 14 seconds to reach the ground, how high to the nearest meter was the helicopter when the package was dropped? 
Physics
A passenger in a helicopter traveling upwards at 18 m/s accidentally drops a package out the window. If it takes 17 seconds to reach the ground, how high to the nearest meter was the helicopter when the package was dropped? 
physics
A passenger in a helicopter traveling upwards at 23 m/s accidentally drops a package out the window. If it takes 16 seconds to reach the ground, how high to the nearest meter was the helicopter when the package was dropped? 
Physics
A passenger in a helicopter traveling upwards at 17 m/s accidentally drops a package out the window. If it takes 9 seconds to reach the ground, how high to the nearest meter was the helicopter when the package was dropped? 
physics
A passenger in a helicopter traveling upwards at 20 m/s accidentally drops a package out the window. If it takes 15 seconds to reach the ground, how high to the nearest meter was the helicopter when the package was dropped? 
physics
A passenger in a helicopter traveling upwards at 20 m/s accidentally drops a package out the window. If it takes 15 seconds to reach the ground, how high to the nearest meter was the helicopter when the package was dropped? 
physics
a helicopter is ascending vertically with a speed of 5.20 m/s. at a height of 110 m above the Earth, a package is dropped from a window. how much time does it take for the package to reach the ground ? 
physics
A helicopter 8.70 above the ground and descending at 2.60 drops a package from rest (relative to the helicopter). We have chosen the positive positive direction to be upward. The package falls freely. Just as it hits the ground, find … 
Physics
A helicopter is ascending vertically with a speed of 5.20 m/s. At a height of 125 m above the Earth, a package is dropped from a window. How much time does it takes the package to hit the ground? 
physics
A passenger in a helicopter traveling upwards at 20 m/s accidentally drops a package out the window. If it takes 8 seconds to reach the ground, how high to the nearest meter was the helicopter when the package was dropped?