Madison S.

asked • 10/12/16

Finding the Distance in m/s

The speed of a car at 80km/h corresponds to 200m/s. If the car is travelling at 210km/h how far does it travel in m/s?

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Arturo O. answered • 10/12/16

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Madison,

The information in the problem statement is not correct. 80 km/hr does not correspond to 200 m/s.

80 km/hr = [(80 km)*(1000 m/km)] / [(1 hr)(3600 s/hr)] = (80,000 m) / (3600 s) = 22.22 m/s
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Madison S.

hey! 
I have worked out the the information given is not correct, however in our assignment these are the numbers we have been given to work with and use, do you know how we can solve the question using these numbers? 
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10/12/16

Arturo O.

We can convert 210 km/hr to m/s:
 
210 km/hr = (210,000 m)/(3600 s) = 58.33 m/s
 
We can also get it from the proportion:
 
80 km/hr → 22.22 m/s
210 km/hr → v m/s (v = speed)
 
Cross multiply and get
 
v = (210 km/hr)*(22.22 m/s) / (80 km/hr) = 58.33 m/s
 
This might be the proportion you had in mind.
 
But to find how far the vehicle has traveled, we need a time interval t.  If you multiply the length of the time interval t by the speed v, you will get the distance traveled d.  But no time interval is given in the problem.  Suppose for the sake of argument that the vehicle traveled for 3 hours.
 
t = 3 hours = 3 hours x (3600 s/hr) = 10800 s
 
Then distance traveled at a speed of 58.33 m/s is 
 
d = vt = (58.33 m/s)(10800 s) = 629964 m = 629.964 km
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10/13/16

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