# Physics

posted by .

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?

• Physics -

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.

## Similar Questions

1. ### 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?
2. ### 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?
3. ### 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?
4. ### 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?
5. ### 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?
6. ### 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?
7. ### 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 ?
8. ### 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 …
9. ### 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?
10. ### 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?

More Similar Questions