I really would like to give some work on this problem, but I have no idea how to do it! Please help!

An airplane is dropping bales of hay to cattle stranded in a blizzard on the Great Plains. The pilot releases the bales at 120 m above the level ground when the plane is flying at 80.0 m/s 55.0 degrees above the horizontal.

How far in front of the cattle should the pilot release the hay so that the bales will land at the point where the cattle are stranded?


Assuming constant velocity and altitude, which is 80.0m/s and 120m, how long does it take for the bales to fall to the ground and how far do they travel horizontally is that time period?
We know that
s=(1/2)gt^2, g=9.8m/s^2, s=120m so 120m=4.9m/s^2 * t^2 Now solve for t
The plane is flying 80.0m/s. How far does bale travel in the time t you just determined?
The location makes an angle of 55deg from the target; the altitude is 120m. What is the horizontal distance of the plane from the target? How does this distance compare with the distance you just calculated?

Ok, the plane is flying at an angle, so has an upward velocity component and a horizontal component.

For the upward component, you get a lift. How long does it take for the bale to hit the ground?

yf=yi + vy*time - 1/2 9.8 time^2
where yf=ground level=0
yi=120 m
vy= 80m/s * sin55
solve this second degree equation for time.
Now, having time in the air, how far does the bale travel horizontally?
xf=xi + vh*time
where xi=0, vh= 80cos55, and time is above. xf will be the answer to the question.

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Thermodynamics

    An insulated rigid tank contains 1.5 kg of helium at 30∘C and 500 kPa. A paddle wheel with a power rating of 0.1 kW is operated within the tank for 30 minutes. Cvof helium = 3.12 KJ/Kg.K Problem 7A. Calculate the net work done

  2. life orientation

    definition of xenophobia ,give a description of xenophobia 2016-2018 example of how this problem has displayed itself in your community, give your own position on this specific problem of xenophobia in South Africa

  3. statistics

    suppose x is a uniform random variable with c=30 and d=80 find the probability that a randomly selected observation exceeds 50 this is the direct question, i have no idea how to work this problem, please help

  4. math

    A can finish a work in 24 days , B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days.The remaining work was done by A in ? any idea please i used work rate concept but i did not reach to the

  1. English

    Identify the subject, verb, compliment and prepositional phrase 1. Authorized dealers must give purchasers permit tags as proof of legal sale. 2. What a thorny problem cactus rustling has become. 3. Many work at night and

  2. Chem (but i think its physics)

    Ok so this problem appeared in my online chem homework, but it looks alot more like a physics problem. I have no idea how to do it A 203 lb man eats an order of French Fries consuming 250 Cal of food energy. Afterwards he feels

  3. Digital Arts

    A copyright allows for all of the following EXCEPT A. using someone else's work B. telling other people you made up the idea* C. using but slightly changing some else's work D. creating a new work that uses part of copyrighted

  4. Trig

    A sprinkler on a golf green is set to spray water over a distance of 20 meters and to rotate through an angle of 160°. Find the area of the region that can be irrigated with the sprinkler. (Round your answer to two decimal

  1. Algebra

    Can someone pleas give me an example of a nonlinear function with 2 inputs? I have to provide 5 problems for class and have no idea where to begin or how to set up the problem.

  2. the big idea of energy KS3

    what is the big idea of energy? To A. Einstein, it was that Energy and Mass are equivalent, and that the sum total of both, with a factor called entropy, is constant in the universe. what is the big idea of energy i need help on

  3. rounding numbers

    I need to to round 423,607,492 to the ten thousands. I then need to round it to the million. Can someone help me. I will be happy to check your work. Which numeral is in the ten-thousand place in this number? Which numeral is in

  4. math 115

    the question is asking me to divide 4 and 1/5 by 14 and write the results in the simplist form? Can u give me a simular problem and show me how to work it?

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