Velocity calculation

v= d/t

a bird is flying 1,800 miles south of georgia. what is the bird’s velocity if it takes 40 minutes to cover the distance?

question 13 options:

45 m/sec

35 m/sec

45 m/min

35 m/min

Answer choice: [C]:


V = d / t  = 1800 mi / 40 min = 180 mi / 40 min = 45 mi / min .

Which very well could be "Answer choice: [C]:  45 m/min" ; except, this answer choice may have been written incorrectly—and should read:
                                                 "45 m/min."


Now, notice that all the answer choices given are in "meters" per (unit time—seconds or mins.

So, we need to convert:

45 mi.  to "meters", or "m".

Note the following conversions:

 1 mi. = 1750 yd

3 ft. = 1 yd.


1 m = 3.2 ft.


So, 1 mi. = ? m ;

 1 mi * ( 1760 yd/ mi) * (3 ft / 1 yd) * ( 1m / 3.2 ft) = _?_  m ?

On the "left hand side" , the units of  "mi", "yd", and "ft" ; cancel to "1" ;
 
    and we are left with:

[(1760 * 3)]  /  [(3)*(3.2)]   m  = (5280 / 9.6) m  =  550 m .

So, we have:  550 m / min ; which match NONE of the answer choices.

However, it is possible that choices A or B, which are given in "m/sec" (meters per second); are among the correct choices.


So, we convert:   550 m / min to:   "m / sec " ;

( 550 m/ min)*(1 min/ 60 sec) =  (550/60) m/sec = (55/6) m/ sec
                                                                                    = 9 1/6 m / sec .

                                                                 which is:  None of the above.

                     Unless the answer choices were written incorrectly.

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