Question

HELP PLEASE :')


Police can estimate the speed at which a car was traveling by measuring its skid marks. The formula
ㅤㅤr=16✓15L
ㅤㅤ ---------
ㅤㅤㅤ 5

can be used, where r is the speed in kilometers per hour and L is the length of a skid mark in meter. Determine the speed of a car that left 5 meter skid mark, Write your answer in simplified radical form ​

Answer 1

Given :  Police can estimate the speed at which a car was traveling by measuring its skid marks

r=16✓15L / 5

To Find : speed of a car that left 5 meter skid mark,

Solution:

r=16✓15L / 5

r =  speed in kilometers per hour

L = length of a skid mark in meter. = 5

r=16✓(15*5) / 5

=> r=16✓(3 * 5*5) / 5

=> r=16✓(3 * 5²) / 5

=> r=16* 5✓3 / 5

=> r= 16 ✓3

16 ✓3   kilometers per hour  is the  speed of  car

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Answer 2

Given :

Speed of car, r = 16√15L

Length of skid mark, L = 5 m

$r = 16 \sqrt{15} \times 5 \\ \\ r = 80 \sqrt{15} \\ \\ r = 80 \times 3.8 \\ \\ r = 304$

Speed of a car that left 5 meter skid mark is 304 m/s.