If an object moving at 1 mile/hour accelerates 1 mile/hour for every meter it travels, how fast will it be travelling in half of an hour? (Note: There are 1609.34 meters in a mile)

Speed = 0.0003miles/hr

Step-by-step explanation:

Speed of object = 1 mile/hour

For every meter it travels, its acceleration increases by 1 mile/hour

∆Distance = increase in distance

∆speed = 1 meter

The speed and the distance are constant

Speed = distance/time

Time = distance/speed = 1meter/(1 miles/hr)

Convert meter to miles

1609.34 meters = 1mile

1meter = (1meter × 1mile)/(1609.34 meters)

1 meter = (1/1609.34)miles

Time = distance/speed = (1/1609.34)miles/(1 miles/hr)

Time = (1/1609.34)hr

We are to determine the speed the object would be travelling in half of an hour?

In 1hr, it travels (1/1609.34)miles

In ½hr, it travels = (1/1609.34)(½)hr

Speed = 0.0003miles/hr

It will be travelling 0.0003miles/hr in half of an hour