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In the Netherlands, there is an annual ice-skating race called the \"Tour of the

ID: 1691744 • Letter: I

Question

In the Netherlands, there is an annual ice-skating race called the "Tour of the Eleven Towns." The total distance of the course is 2.00 x 102 km, and the record time for covering it is 5 h, 40 min, 37 s. A) Calculate the average speed of the record race. For (a), I got .033 km/s. B) If the first half of the distance is covered by a skater moving with a speed of 1.05v, where v is the average speed found in (a), how long will it take to skate the first half? Express your answer in hours and minutes.
In the Netherlands, there is an annual ice-skating race called the "Tour of the Eleven Towns." The total distance of the course is 2.00 x 102 km, and the record time for covering it is 5 h, 40 min, 37 s. A) Calculate the average speed of the record race. For (a), I got .033 km/s. B) If the first half of the distance is covered by a skater moving with a speed of 1.05v, where v is the average speed found in (a), how long will it take to skate the first half? Express your answer in hours and minutes.

Explanation / Answer

total distance S = 2* 10^ 2 = 200 km =200* 10^ 3 m time t= 5 h 40 min 37 s = ( 5* 3600s) + ( 40* 60 s) + 37 s = 20437 s Average speed v = S / t = 9.786 m / s = 9.786 * ( 18 / 5) km / h = 35.23 km / h (B). distance S ' = S / 2= 100 km = 10^ 5 m speed v ' = 1.05 v = 1.05 *9.786 m / s = 10.27 m / s required time t ' = S ' / v ' = 9731.9 s = 9731.9 / 3600 h = 2.7033 h