The velocity at the maximum height will always be 0. Therefore, you will count your final velocity as 0, and your initial velocity as 35 m/s. Next, we know that the acceleration will be 9.8 m/s^2. How? Because the ball is thrown directly upward, and the only force acting on it will be the force of gravity pushing it back down.
The formula we use is h = (Vf^2 - Vi^2) / (2*-9.8m/s^2)
Plugging everything in, we have h = (0-1225)/(19.6) = 62.5 meters is the maximum height.
Answer:
KE = 
m
Explanation:
In the generation of energy from hydroelectric power station, the motion of water, and the turbines are paramount. The falling flowing water turns the blades of the turbine, which in-turn causes the movement of a coil within a strong magnetic field.
The motion of the coil which cuts the strong magnetic field induces current. Thus, the system generates electrical energy.
The equation that links kinetic energy (KE), mass (m) and speed (v) can be expressed as:
KE = m
It is located through seven countries in South America which are Venezuela, Colombia, Ecuador, Peru, Bolivia, Chile and Argentina. This is the Andes Mountains which is about 7000 km long. This is known as the world's longest mountain range.
Answer:
y (t) = 0.754 * cos ( 7.96 t - 69.52)
Explanation:
Given:
m = 1.5 kg , k = 95 N / m , v₀ = 6 m / s , d = 0.35 m , t = 0
y (t) = A * cos ( ω * t - φ )
Using the equation that describe the motion
m * v = - k * x ⇒ m * x'' = - k * x
Angular velocity is equal to
ω = √ k / m ⇒ ω = √ 95 N /m / 1.5 kg
ω = 7.96 rad /s
A = v / ω ⇒ A = 6 m /s / 7.96 rad / s
A = 0.754
d = cos * φ ⇒ φ = cos ⁻¹ * 0.35
φ = 69.52
y (t) = A * cos ( ω * t - φ ) ⇒ y (t) = 0.754 * cos ( 7.96 t - 69.52)
