Answer:
37.8 m
Explanation:
At point 0, the ball is at height y₀.
At point 1, the ball is at height 30 m.
At point 2, the ball is at height 0 m.
Given:
y₁ = 30 m
y₂ = 0 m
v₀ = 0 m/s
a = -10 m/s²
t₂ − t₁ = 1.5 s
Find: y₀
Use constant acceleration equation.
y = y₀ + v₀ t + ½ at²
Evaluate at point 1.
y₁ = y₀ + v₀ t₁ + ½ at₁²
30 m = y₀ + (0 m/s) t₁ + ½ (-10 m/s²) t₁²
30 = y₀ − 5t₁²
Evaluate at point 2.
y₂ = y₀ + v₀ t₂ + ½ at₂²
0 m = y₀ + (0 m/s) t₂ + ½ (-10 m/s²) t₂²
0 = y₀ − 5t₂²
y₀ = 5t₂²
Substitute:
y₀ = 5 (1.5 + t₁)²
y₀ = 5 (2.25 + 3t₁ + t₁²)
y₀ = 11.25 + 15t₁ + 5t₁²
30 = 11.25 + 15t₁ + 5t₁² − 5t₁²
30 = 11.25 + 15t₁
t₁ = 1.25
30 = y₀ − 5t₁²
30 = y₀ − 5(1.25)²
y₀ ≈ 37.8
There are three main factors that affect wave formation: wind velocity, fetch, and duration.
Waves are most commonly caused by wind. Wind-driven waves, or surface waves, are created by the friction between wind and surface water. As wind blows across the surface of the ocean or a lake, the continual disturbance creates a wave crest.
Complete Question
An infinite sheet carries a uniform, positive charge per unit area. The electric field produced by the sheet is represented by parallel lines drawn with a density N lines per m2 that are perpendicular to and away from the sheet. The charge per unit area on the sheet is doubled. How should the density of the electric field lines be changed?
A It should stay the same
B It should be quadrupled.
C It should be quintupled
D It should be doubled.
E It should be tripled
Answer:
Option D is the correct option
Explanation:
Generally electric field is mathematically represented as

Where
is the charge per unit area (Charge density )
From the question we are told that
is doubled hence the
Looking the equation above we see that the value of the electric field will also double given that it is directly proportional to the charge density
They're made up of more than one substance.
They're readily available in nature.
Explanation:
A composite material or substance is one that is made up of more than one substance.
A composite is used specifically for a purpose which the two desired materials can provide by combining them.
- Composites given better material integrity compared to their components.
- A composite is produced in order to augment the properties of materials.
- The product has unique properties different from those combining.
- Composite materials are readily available in nature.
- For example, wood is a composite structure in plant.
learn more:
Heterogeneous mixtures brainly.com/question/1446244
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Answer:
elapsed time is 10.53 sec
Explanation:
Given that;
velocity of the car
= 20.0m/s
Initial velocity of the SUV
= 30.0 m/s
SUV slow down at a constant a = 1.90 m/s²
Now, Let Vs represent the final velocity of the SUV and after time t when the police can cross it and d represent the distance both of the cars covers between the two crossing
so;
d =
× t
also d =
t - 1/2 at²
so
× t =
t - 1/2 at²
we substitute
20 × t = 30 × t - 1/2 × 1.9 × t²
20t = 30t - 1/2 × 1.9 × t²
1/2 × 1.9 × t² = 30t - 20t
1/2 × 1/9 × t² = 10t
t = 2 × 10 / 1.9 ( as t ≠ 0 )
t = 20 / 1.9
t = 10.53 sec
Therefore, elapsed time is 10.53 sec