physics

Hey can someone help with this.

A movie stuntwoman drops from a helicopter that is 30.0 m above the ground and moving with a constant velocity whose components are 10.0 m/s upward and 15.0 m/s horizontal and toward the south. You can ignore air resistance.

What is the horizontal distance(relative to the position of the helicopter when she drops) at which the stuntwoman should have placed the foam mats that break her fall?

I got 55.5 m.

However, the part that I need help with is the graphing. I don't understand how you can graph with this little information.

Draw x-t graph of her motion.

Draw y-t graph of her motion .

Draw v little x - t graph of her motion.

Draw v little y -t graph of her motion.

  1. 👍 0
  2. 👎 0
  3. 👁 1,304
  1. x-t...constant horizontal velocity vs time leads to a linear line x on the up axis, t on the horizontal.

    y-t... y=1/2 g t^2 so you see 1/2 of a parabola.

    vx-t constant

    vy=t vy=gt a line.

    1. 👍 0
    2. 👎 0
    👨‍🏫
    bobpursley
  2. How did you manage to get that 55.5 m? Please explain,
    thanks

    1. 👍 0
    2. 👎 0
  3. y=y0+V0yt+.5Ayt^2
    0=30+10t-.5(9.8)t^2
    0=4.9t^(2)+10t+30

    Via Quadratic Formula
    t=-1.656s and/or 3.6969s
    since t can't be negative t must equal 3.6969s

    x=X0+V0xt+.5Axt^2
    x=0+15(3.6969)+.5(0)t^2
    x=15(3.6969)
    x=55.5m

    1. 👍 1
    2. 👎 0
  4. You did a mis-step in your calculation as its ...
    y=y0+V0yt+.5Ayt^2
    0=30+10t[-.5(9.8)t^2] <- in bracket
    so that will make this ...
    0= (-4.9t^(2))+10t+30

    Via Quadratic Formula
    t=(-1.233s) and/or 3.2725s
    since t can't be negative t must equal 3.2725s

    *steps above*
    x=15(3.2725)
    x=49.5m

    1. 👍 0
    2. 👎 0
  5. Since you are claiming acceleration of gravity to be positive (downwards is positive), then you must record upward values to be negative.

    Therefore:
    a of woman= 9.8 m/s^2
    upward velocity of woman= -10 m/s
    helicopter height= -30 m
    horizontal/ southern velocity of woman= 15 m/s
    (south is going downwards, you claimed
    down to be positive).

    First find t:

    y= y0+ v0t+ 1/2at^2
    = -30-10t+4.9t^2
    (rearranging) --> 4.9t^2-10t-30
    \-- use the quadratic formula --/
    t= -1.656 & 3.696
    \--time cannot be negative so use 3.696--/

    Second, find x, the distance the stuntwoman lands relative to the helicopter:

    x=x0+v0t+1/2at^2
    x=15(3.696)
    =55.5 m

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A small mailbag is released from a helicopter that is descending steadily at 1.01 m/s. (a) After 4.00 s, what is the speed of the mailbag? v = m/s (b) How far is it below the helicopter? d = m (c) What are your answers to parts

  2. 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

  3. 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

  4. physics

    A photographer in a helicopter ascending vertically at a constant rate of 1.2m/s accidentally drops a camera out of the window when the helicopter is 46m above the ground. How long will it take the camera to reach the ground

  1. Physics

    A helicopter is flying horizontally at a constant 40 m/s when it drops a package below. Where does it land? 1. About 50 m ahead of the helicopter 2. About 80 m behind the helicopter 3. There is no way to answer without knowing how

  2. Physics

    A helicopter is traveling with a velocity of 12 m/s directly upward. Directly below the helicopter is a very large and very soft pillow. As it turns out, this is a good thing, because the helicopter is lifting a large man. When

  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

    The fastest helicopter, the Westland Lynx, can travel 3.33 km in the forward direction in just 30.0 sec. What is the average velocity of this helicopter in kilometers per hour?

  1. Physics

    Hi I really need this question answer as a check: a helicopter holding a 70 kilogram package suspended from a rope 5.0 meters long accelerates upward at a rate of 5.2 m/s^2. a. Determine tension on the rope. b. When the upward

  2. physics

    A military helicopter on a training mission is flying horizontally at a speed of 75.0m/s when it accidentally drops a bomb (fortunately, not armed) at an elevation of 310m . You can ignore air resistance. a:How much time is

  3. physics

    a helicopter is ascending vertically with a speed of 5.20 m/s with package of negligible size attached to the bottom of the helicopter, when the helicopter is 125 m above the ground the package is released and the helicopter

  4. physics

    In an action movie, the villain is rescued from the ocean by grabbing onto a ladder hanging from a helicopter. He is so intent on gripping the ladder that he lets go of his briefcase full of counterfeit money when he is 126.4 m

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