1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nignag [31]
2 years ago
7

An airplane is flying at a speed of 200 m/s in level flight at an altitude of 800 m. A package is to be dropped from the airplan

e to land on a target on the ground. At what horizontal distance away from the target should the package be released so that it lands on the target?
Physics
1 answer:
MArishka [77]2 years ago
7 0

Answer:

2560m or 2.56km (rounded to 3 significant figures)

Explanation:

First, list all known and desired values/variables (initial vertical velocity is 0 as the plane is kept level and vertical acceleration is just gravity):

Vertical \ velocity \ (\frac{m}{s} ) =  u_{v} = 0 \\\\ Horizontal \ velocity \ (\frac{m}{s} ) =  u_{h} = 200\\\\ Vertical \ acceleration \ (\frac{m}{s^{2} } ) =  a_{v} =  9.8 \\\\ Horizontal \ acceleration \ (\frac{m}{s^{2} } ) =  a_{h} =  0 \\\\ Vertical \ displacement \ (m) = s_{v} = 800 \\\\ Horizontal \ displacement \ (m) = s_{h}

The horizontal displacement is going to be the distance travelled, horizontally of course, once the package is released;

First thing to understand is that the vertical and horizontal components are to be dealt with separately because they don't affect each other;

Since there is no horizontal acceleration (ignoring air resistance), we simply require a velocity and time to find the horizontal displacement, using the formula v = d/t (or speed = distance/time);

What we have is the horizontal velocity but we don't have the time taken;

One thing we know is that the time elapsed for the vertical fall of 800m and for the horizontal displacement must be the same;

What we do, therefore, is find the time taken for the vertical displacement using the formula, s = ut + ¹/₂·at², since we know the vertical velocity, height and acceleration:

800 = (0)t + ¹/₂·(9.8)t²

800 = 4.9t²

t² = 163.26...

t = 12.77...

We now have the time taken for the vertical fall and the horizontal displacement, we can use this with the horizontal velocity we know already and get the horizontal displacement:

u_{h} = \frac{s_{h} }{t} \\\\ 200 = \frac{s_{h} }{12.77...} \\\\ s_{h} = 200(12.77...) \\\\ s_{h} = 2555.5...

You might be interested in
What does flowing electrical charge produce?
Annette [7]

Answer:

Useable energy, electricity

6 0
2 years ago
A golf ball is hit so that it leaves the club face at a velocity of 45m/s at an angle of 40° to the horizontal. by ignoring the
tatuchka [14]

Answer:a)45cos40 b)45sin40 c) 2.95 d)102

Explanation:

a) v_{x} = 45 cos40

b) v_{y}=45sin40

c) Since air resistance is negligible, the only force acting on the golf ball is gravity. Thus, its vertical acceleration is -<em>g</em>. We know the final velocity must be 0 m/s, because this will be when the golf ball reaches the maximum height and starts to change direction (it falls back to the ground). We also know initial velocity in the vertical direction (see part b). Thus, we can use this equation: v_{f} = v_{i} + at.

0 m/s = 45sin40 + (-9.8m/s^2)t\\t = 2.95s

d) The horizontal distance traveled is dependent on (1) how long the ball is in the air and (2) what the horizontal velocity is. (1) was found in part c, and (2) was found in part a.

x=vt\\x=45cos40(2.95) =102m

6 0
2 years ago
A ball rolls from x = - 5m to x = 0m in 1 second . What was its average velocity? (Units = m/s) Don't forget: velocities and dis
katrin2010 [14]

Answer:

+ 5 m/s

Explanation:

change in displacement = ΔX=final position - initial position

                                            ΔX = 0-(-5) =0+5 =+ 5 m

average velocity =  ΔX/t

                             = +5/1

                             = + 5 m/s

positive sign shows that ball rolls towards right

8 0
3 years ago
WHO WANts TO HAVE SOME GLIZZY ACTION
Lilit [14]
Bruh huh.............
6 0
2 years ago
In the above lightwave the property labeled a determines which characteristic of visible light
kap26 [50]
The light must be either very dim or else non-existent. 
We can't see the light wave or the label.
7 0
3 years ago
Other questions:
  • Type the correct answer in the box. Spell all words correctly.
    14·1 answer
  • In this section please include the if then statements you develop during your lab activity these statement reflect your predicte
    6·1 answer
  • The force of gravity acting upon an object is the objects mass. True or false
    6·1 answer
  • Plzzz helpp mee guysss!!! plzzzz
    15·2 answers
  • A force acts on a body of mass 13 kg initially at restThe force acts for 10 seconds, and once it quits, the body covers 60 m in
    11·2 answers
  • How does a resistor affect an electrical circuit?
    14·2 answers
  • PLEASEE HELP!!!!!!Why are the youth not getting involved in their communities and voting? How is media influencing the voters?
    15·1 answer
  • On a box are the words 12 Volt : 50 mA<br> What is the resistor in Kilo-Ohm?
    10·1 answer
  • Which of Newton's Laws does this represent? Support your choice.
    14·2 answers
  • Newton’s cradle is a contraption where metal balls hang from a frame. When one ball is pulled and released, the collision causes
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!