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

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.