Question

A cyclist begins a race and reaches a cadence of 70rpm after 15s. They maintain this...

A cyclist begins a race and reaches a cadence of 70rpm after 15s. They maintain this same pedaling rate for the next 21 minutes, at which point their cadence constantly decreases to 53rpm as they cross the finish line 56 minutes after the race began. They then roll to a stop 68m away. The wheel diameter of the bike is 70cm.

a. what was the angular distance travelled by the cyclist at the start of the race in revolutions?

b. What was the angular distance travelled by the cyclist during the middle of the race in revolutions?

c. What was the angular distance travelled by the cyclist at the end of the race in revolutions?

d. What was the total angular distance travelled by the cyclist in radians?

e. What was the total linear distance travelled by the cyclist in kilometers?

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