Mechanical energy E = mgh + 1/2mv²
When he starts, let h = 0 ⇒ E₁ = 1/2mv₁²
When he reaches height h ⇒ E₂ = mgh + 1/2mv₂²
Without friction, energy is conserved at all times.
E₁ = E₂
↓
1/2mv₁² = mgh + 1/2mv₂²
↓
1/2v₁² = gh + 1/2v₂²
↓
gh = 1/2(v₁² - v₂²)
↓
h = (v₁² - v₂²) / (2g)
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The circulation system for mammals is very complex
The pressure of a liquid on the surface of its container or on the surface of any body in the liquid is equal to the weight of a column of the liquid whose height equals the depth of the liquid at that certain point.
Answer:
The resultant vector has a magnitude of 4998 m and a direction of 45.7°.
Explanation:
The x component of the resultant vector is the sum of the x components of each individual vector.
x = 3250 cos 38.4 + 1822 cos 58.8
x = 3490.8
Similarly, the y component of the resultant vector is the sum of the y components of each individual vector.
y = 3250 sin 38.4 + 1822 sin 58.8
y = 3577.2
The magnitude can be found with Pythagorean theorem:
√(x² + y²)
√(3490.8² + 3577.2²)
4998
The direction can be found with trigonometry:
atan(y / x)
atan(3577.2 / 3490.8)
45.7°
The resultant vector has a magnitude of 4998 m and a direction of 45.7°.
