Answer:
see explanation
Step-by-step explanation:
Given that R varies directly as v² then the equation relating them is
R = kv² ← k is the constant of variation
To find k use the condition R = 600 when v = 20
k = [tex]\frac{R}{v^2}[/tex] = [tex]\frac{600}{20^2}[/tex] = [tex]\frac{600}{400}[/tex] = 1.5
R = 1.5v² ← equation of variation
(1)
When R = 3375, then
3375 = 1.5v² ( divide both sides by 1.5 )
2250 = v² ( take the square root of both sides )
v = [tex]\sqrt{2250}[/tex] ≈ 47.43 Km/hr
(2)
When v = 32, then
R = 1.5 × 32² = 1.5 ×1024 = 1536 N
