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
Similarity : inverse square law for strength of force compared with distance.
Answer:
Potential
Explanation:
The water in the bathtub has more potential energy than that in the tea cup because it has a greater number of water molecules.
Mass is a parameter that is very instrumental in determining potential energy.
The potential energy of a body is the energy due to the position of that body.
Potential energy = mass x acceleration due gravity x height
Mass is the amount of matter in a substance. Water in the tub will have more mass and contain a greater number of water molecules there in.
Since potential energy is directly proportional to mass, then, it will have a greater amount of potential energy.
The rock strike the water with the speed of 15.78 m/sec.
The speed by which rock hit the water is calculated by the formula
v=
v=
v=15.78 m/sec
Hence, the rock strike the water with the speed of 15.78 m/sec.