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
yKpoI14uk [10]
3 years ago
11

A projector is placed on the ground 22 ft. away from a projector screen. A 5.2 ft. tall person is walking toward the screen at a

rate of 3 ft./sec. How fast is the height of the person's shadow changing when the person is 13 ft. from the projector

Physics
1 answer:
Stella [2.4K]3 years ago
7 0

Answer:

y = 67.6 feet,   y = 114.4/ (22 - 3t)

Explanation:

For this exercise let's use that light travels in a straight line and some trigonometric relationships, the symbols are in the attached diagram

Large triangle Projector up to the screen

         tan θ = y / L

For the small triangle. Projector up to the person

         tan θ = y₀ / (L-d)

The angle is the same, so we equate the two equations

         y₀ / (L -d) = y / L

         y = y₀  L / (L-d)

The distance from the screen (d), we look for it with kinematics

         v = d / t

        d = v t

we replace

         y = y₀ L / (L - v t)

         y = 5.2 22 / (22 - 3 t)

         y = 114.4 (22 - 3t)⁻¹

This is the equation of the shadow height change as a function of time

For the suggested distance the shadow has a height of

           y = 114.4 / (22-13)

           y = 67.6 feet

You might be interested in
Why do clouds tend to form over land with a sea breeze and over water with a land breeze?
Masja [62]
Because the waves in the water with the fan like system.
6 0
3 years ago
During a free fall Swati was accelerating at -9.8m/s2. After 120 seconds how far did she travel? Use the formula =1/2 * t2 to so
Ulleksa [173]

8/9 score.....................

3 0
2 years ago
Read 2 more answers
An umbrella tends to move upward on a windy day because _____.
masha68 [24]
E. all of the above

An umbrella tends to move upward on a windy day because _<span>A. buoyancy increases with increasing wind speed </span>
<span>B. air gets trapped under the umbrella and pushes it up </span>
<span>C. the wind pushes it up </span>
<span>D. a low-pressure area is created on top of the umbrella </span>

3 0
2 years ago
What is something I could represent chloroplasts in a project
IgorC [24]
Nulceus - recipe book/instruction manual 
Mitochondria - Battery 
Endoplasmic reticulum - Printer or a pen? 
Golgi aparatus - an envelope 
Chloroplasts - green rechargable battery 
Cell membrane (elastic band (2 to represent the phospholipid bilayer) 
Ribosomes - I guess maybe an ink pot as its the material thats used to write 
Cell Wall - the paper bag 
lysosomes - washing up liquid (breaks down wate food on a dirty plate) 
vaculoes - bottle of water
3 0
3 years ago
What is the resistance of a nichrome wire at 0.0 âc if its resistance is 100.00 Ï at 11.5 âc? express your answer using four sig
Yakvenalex [24]
30 years times the number of dogs
4 0
3 years ago
Other questions:
  • When I move a conductor through a magnetic field, the change in magnetic field creates a net change in magnetic flux. The EMF th
    8·1 answer
  • Which tools would be necessary to determine whether or not a large block will float, without using water?
    7·1 answer
  • We decided to make an iced latte by adding ice to a 200 mL hot latte at 45 °C. The ice starts out at 0 C. How much ice do we nee
    5·1 answer
  • Help uhh i need to know this answer
    12·1 answer
  • A power source of 6.0 V is attached to the ends of a<br> capacitor. The charge is 12 C.
    15·1 answer
  • Which will have a larger momentum when moving at the same speed: a 2,000-kg truck or a 1,000-kg sedan
    6·1 answer
  • Equal forces that do not cause a change in an object's motion
    7·1 answer
  • Which biome has the most variable year round temperature
    15·1 answer
  • at a certain moment, an object has an amount of 200 of motion energy and 400 of gravitational potential energyThe object is also
    9·1 answer
  • Velocity can best be described by which of the following statements?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!