Physics

An Alaskan rescue plane drops a package of emergency rations to a stranded party of explorers. The plane is traveling horizontally at 40.0 m/s at a height of 100 m above the ground.
a) How far horizontally from the dropping point does the package strike the ground?
b)What are the x and y velocities before it hits the ground?

  1. 👍 0
  2. 👎 0
  3. 👁 5,469
  1. s = ut + 1/2 at^2.............since the initial velocity down u = 0

    100 = 0 + 1/2(9.81)t^2

    t = 4.51 sec

    again s = ut + 1/2 at^2...........this time horizontally

    s = distance = (40)(4.51) + 1/2(0)(4.51)^2................Notice the acceleration = 0

    s = 180.61 m away in the direction of flight

    this is the same as saying distance = speed x time.

    II. Kinetic Energy = 1/2 mv^2

    Potential Energy = mgh

    (1/2)m(40)^2 + m(9.81)(100) = 1/2 m v^2............................

    divide by m

    (1/2) (1600) + 981 = 1/2(v^2)

    v = 59.6 m/s

    This ia according to the law of conservation of Energy.

    Another way to do it is Horizontal and vertical velocity:

    Horizontal v = 40 m/s...............since a = 0

    Vertical v = u + at = 0 + (9.81)(4.51) = 44.23 m/s

    Using pythagoras the resulting v = Squaroot ( 44.23^2 + 40^2 ) = 59.6 m/s

    Same answer......and it should be, either way would do..

    1. 👍 3
    2. 👎 5

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A plane is flying horizontally with speed 193 m/s at a height 2010 m above the ground, when a package is dropped from the plane.The acceleration of gravity is 9.8 m/s^2. 1.What is the horizontal distance from the release point to

  2. Physics

    help. A rescue helicopter drops a package of emergency ration to a stranded party on the ground. If the helicopter is traveling horizontally at 40m/sec at a height of 100 m above the ground, where does the package strike the

  3. Physics

    PLEASE HELP! A person throws a rock horizontally off a cliff ata a speed of 9 m/s from a point 64.8 m above the ground. How long is the rock in the air? 13.2 s 26.4 s 3.64 s(my guess) 5.14 s A package falls from an airplane in

  4. physics

    A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 92 m above the glacier at a speed of 135 m/s. How far short of the target should it drop the package?

  1. physics

    An Alaskan rescue plane traveling 42 m/s drops a package of emergency rations from a height of 117 m to a stranded party of explorers. The acceleration of gravity is 9.8 m/s2 . Where does the package strike the ground relative to

  2. Physics

    A rescue plane spots a person floating in a lifeboat 55 m directly below and releases an emergency kit with a parachute. The package descends with a constant vertical acceleration of 6.91 m/s. If the horizontal speed of the plane

  3. Physics

    A helicopter above the ground is descending at 3.5 m/s. It drops a package from rest(relative to the helicopter). Just before it hits the ground the package is falling at a rate of 13.4 m/s relative to the ground. Find the

  4. Physics

    A plane flying horizontally at a speed of 50m/s and at an elevation of 160m drops a package. two seconds later it drops a second package. How far apart will the two packages land on the ground? a)100m b)162m c)177m d)283m i think

  1. Physics

    An Alaskan rescue plane drops a package of emergency rations to a stranded party of explorers, as illustrated below in Figure 18. The plane is traveling horizontally at 30m/s at a height of 200m above the ground. a. What

  2. physics

    An Alaskan rescue plane traveling 37 m/s drops a package of emergency rations from a height of 149 m to a stranded party of explorers. The acceleration of gravity is 9.8 m/s 2 . Where does the package strike the ground relative to

  3. 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? To the

  4. physics

    A rescue plane is flying horizontally at a height of 132 m above the ground. The pilot spots a survivor and releases an emergency kit with a parachute. The kit descends at a constant vertical acceleration of -6.89 m/s2 and the

You can view more similar questions or ask a new question.