The height at time t is given by
h(t) = -4.91t² + 34.3t + 1
When the ball reaches maximum height, its derivative, h'(t) = 0.
That is,
-2(4.91)t+34.3 = 0
-9.82t + 34.3 = 0
t = 3.4929 s
Note that h''(t) = -9.82 (negative) which confirms that h will be maximum.
The maximum height is
hmax = -4.91(3.4929)² + 34.3(3.4929) + 1
= 60.903 m
Answer:
The ball attains maximum height in 3.5 s (nearest tenth).
The ball attains a maximum height of 60.9 m (nearest tenth)
Answer:
E/4
Explanation:
The formula for electric field of a very large (essentially infinitely large) plane of charge is given by:
E = σ/(2ε₀)
Where;
E is the electric field
σ is the surface charge density
ε₀ is the electric constant.
Formula to calculate σ is;
σ = Q/A
Where;
Q is the total charge of the sheet
A is the sheet's area.
We are told the elastic sheet is a square with a side length as d, thus ;
A = d²
So;
σ = Q/d²
Putting Q/d² for σ in the electric field equation to obtain;
E = Q/(2ε₀d²)
Now, we can see that E is inversely proportional to the square of d i.e.
E ∝ 1/d²
The electric field at P has some magnitude E. We now double the side length of the sheet to 2L while keeping the same amount of charge Q distributed over the sheet.
From the relationship of E with d, the magnitude of electric field at P will now have a quarter of its original magnitude which is;
E_new = E/4
Yolanda might put more items to the desk to make it heavier, requiring more force.
We need to learn more about the force acting on an object in order to locate the solution.
<h3>How can the force that is required to modify the motion be increased?</h3>
- We are aware that the word for force is,
F=ma
where m denotes the object's mass and an its acceleration
- There are two ways to increase the force required to alter the motion of the table.
- One is to increase the mass, and the other is to accelerate it more quickly.
- Otherwise, there will be a lot of friction between the surfaces, making it difficult to move without exerting a lot of force.
We can infer from this that Yolanda could add items to the desk to increase its mass, necessitating the use of additional force.
Learn more about the force here:
brainly.com/question/4075805
#SPJ1
According to their increasing no. of protons
Explanation:
According to their atomic number
