Explanation:
The displacement pf the bob is modeled by the following equation as :
..............(1)
The general equation of simple harmonic motion is given by :
...........(2)
On comparing equation (1) and (2) we get :
(a) 

f is the frequency of the motion of the cork.

(b) In the equation (1), the displacement of the cork is 0.2. So, the maximum displacement of the cork above the lake bottom is 0.2 + 8 = 8.2 meters
Hence, this is the required solution.
We can solve using the formula for gravitational potential energy(GPE = mgh)
M(mass) = 20 kg
g(gravitational constant) = 9.8 m/s^2
GPE = 1000
1000 = 20*9.8*h
1000 = 196h
h = 5.102 meters
Answer:
The statement which explains how the total time spent in the air is affected as the projectile's angle of launch increases from 25 degrees to 50 degrees is;
C. Increasing the angle from 25° to 50° will increase the total time spent in the air
Explanation:
The equation that can be used to find the total time, T, spent in the air of a projectile is given as follows;

Where;
T = The time of flight of the projectile = The time spent in the air
u = The initial velocity of the projectile
θ = The angle of launch of the projectile
g = The acceleration due to gravity ≈ 9.81 m/s²
Given that sin(50°) > sin(25°), when the angle of launch, θ, is increased from 25 degrees to 50 degrees, we have;
Let T₁ represent the time spent in the air when the angle of launch is 25°, and let T₂ represent the time spent in the air when the angle of launch is 50°, we have;


sin(50°) > sin(25°), therefore, we have;

Therefore;
T₂ > T₁
Therefore, increasing the angle at which the projectile is launched from 25° to 50° will increase the total time spent in the air.