If the resistance r newton's to the motion of a moving vehicle varies directly as the square of the speed v km/hr, write down the relation between r and v. given that r 600 newton's when v =20 find the ,
(1). speed when the resistance is 3375 newton's
(2).resistance given that the speed is 32 km/hr

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 = = = = 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 = ≈ 47.43 Km/hr

(2)

When v = 32, then

R = 1.5 × 32² = 1.5 ×1024 = 1536 N

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step-by-step explanation: