Chemistry conversion problem...need help?
a.) How long would it take the sprinter to run 100 meters? (1 yd= 36 in. , 1 in.= 2.54 cm)
b.) What is the sprinter's speed in meters per second?
c.) How long would it take the sprinter to run a distance of 1.45 km?
Answer:
Well.. this is really more of a physics/ math problem, but here is how you should look at this problem:
a.) You need to convert the 100 yards into meters using your conversions. 1 yd = 36 in so 100 yd is 3600 in. (100 X 36). If 1 in. = 2.54 cm, then 3600 in. is 9144 cm. Now , you need to convert cm to meters which is 91.44 meters ( 9144 cm / 100 cm/m).
Now that you know that 100 yd = 91.44 meters and that is takes the sprinter 9.3 seconds to cover this distance, you can determine how long it takes him/her to cover 100 meters.
Just set up two fractions and use some simple algebra..
9.3 seconds/ 91.44 meters = X / 100 meters
Solve for X. 10.2 seconds
b.) Now that you know everything to answer A. This one is easier. you know that the sprinter covers 91.44 meters in 9.3 seconds so just divide 91.44 by 9.3.
9.8 meters per second
c.) Assuming that the sprinter keeps the same speed for the entire 1.45 km (which is really amazing for anyone!) you can calculate it this way using algebra..
You know from A that the sprinter covers 100 meters in 10.2 seconds. 1.45 km is 1450 meters (1.45 X 1000 meters per km) . Now , set up your algebra problem while keeping your units of measurement the same.
10.2 seconds/ 100 meters = X / 1450 meters
Solving for X will give you the number of seconds to cover 1.45km.
147.9 seconds or about 2.5 minutes.
1 yard is = 36 in x 2.54 cm/in /100cm/meter or 0.9144 meters/yard. Therefore 100 meters/0.9144 meters/yard=109.36 yards. At the same rate of 100 yards per 9.3 seconds or 10.752 yards per second it would take 109.36yards per 100 meter/ 10.752 yards per second or 10.17 seconds to run 100 meters. Speed would be 100meters/10.17 seconds or 9.83 meters/second. How long would it take to run 1.45 km? = 1450 meters /9.83 meters second=147.5 seconds or 2 minutes 27.5 seconds.
1 yard = 36" = 36 x 2.54 = 91.44cm = 0.9144m.
100yds = 91.44m in 9.3 seconds = 9.83m/s
a.)...100m ÷ 9.83 = 10.17 seconds.
b.)...9.83m/s
c.)...IF... he could possibly keep up the same speed...
1,450m ÷ 9.83m/s = 147.5 seconds = 2min 27.5secs.
Calculation layout is very important.
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