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Distance Measuring Instrument

In distance measuring instrument we have the distance co ordinates,distance formula,speed and time parameters.For distance learning management  between two points we have to know the formula first.In math, learning  distance will be deals with the co-ordinates,speed and time parameters. For distance measuring between the points we have distance formula and we substitute the points in that formula we find the distance between the points.

Formulas in distance measuring instrument:


Distance measuring instrument, we have formula for the distance measuring deals with the time and speed measures.    

                                                              Distance,d = speed × time.                           

In mathematics,distance measuring  instrument for co ordinates math formula for between two points is related with the distance co ordinates points. when we substitute  the points in distance formula we get distance between the points given.     

                                                                 d =`sqrt((x_2-x_1)^2+(y_2-y_1)^2)`   

Let d, will be the distance,(x1,y1) and (x2,y2) are its co ordinates given  between two points. For distance measuring instrument we have formula substitution and problems using the formula.

Between, if you have problem on these topics Distance vs Displacement, please browse expert math related websites for more topics like Angular Motion.

Problems for distance measuring instrument:


Example 1:
          Tina runs at the speed of the 23 kph and travelled 0.5 hours then find the distance she travelled.

Solution: 
                Formula for distance,d =speed `xx` time
                                                        =23 ` xx` 0.5
                                                        =11.5 km
Example 2:
           Rita drove a car at the speed of the 75 kph and travelled for 3 hours then find the distance he travelled.

Solution: 
                Formula for distance,d =speed `xx` time
                                                        =75 ` xx` 3
                                                        =225 kms

Example 3:
         Determine the distance between the two points given A(2,1) and B(5,3).

Solution:
          Assume d be the distance between A and B.             (x1,y1)= (2,1)

             Then d (A, B) =`sqrt((x_2-x_1)^2+(y_2-y_1)^2) `                      (x2,y2)= (5,3).

                                    =`sqrt((5-2))^2 +(3-1)^2)`

                                   =`sqrt(3^2+2^2)`

                                  =`sqrt(9+4)`

                                  =`sqrt13`

                            
Example 4:
          Determine the distance between the two points given P(-1,4) and Q(2,5).

Solution:
                  Assume d be the distance between P and Q                    (x1,y1)= (-1,4)

             Then d (A, B) =`sqrt((x_2-x_1)^2+(y_2-y_1)^2) `                       (x2-y2)= (2,5).

                                    =`sqrt((2-(-1))^2 +(5-4)^2)`

                                   =`sqrt((3)^2+(1)^2)`

                                  =`sqrt(9+1)`

                                  =`sqrt 10`