In an experiment you are performing, your lab partner has measured the distance a cart has traveled: 28.4inch. you need the distance in units of centimeter and you know the unit equality 1inch=2.54centimeter. by which conversion factor will you multiply 28.4inch in order to perform the unit conversion?

As per the question the distance travelled by  a car is 28.4 inch.

we are asked to determine the  conversion factor in centimeter  which when multiplied with 28.4 inch will give a unit.

we know that one inch =2.54 centimeter.

Hence 28.4 inch = 2.54  ×28.4 cm

                            =72.136 cm.

Now we have to determine the conversion factor .The multiplication factor is calculated as    

                                 [p is the multiplication factor.]

Hence the multiplication factor is 72.137 cm which will give unit conversion when multiplied with 28.4 inch.

root word, prefixes, and suffixes

distance = 150m

displ = root (50 ^2 + 100^2)

root(2500+10000)

root 125000