Notice that the bike is 6 feet above the ground to start with, so when it starts rolling, the green dot is exactly 6 feet from the ground, which gives a=6

when the distance covered by the bike is $\frac{\pi}{2}$ , (see first red dot in the attached image), the position of the green dot is exactly 1 foot added to 6 ft= 7 feet

so b = 7

when the distance covered is $\pi$ , now the green dot would be at the top of the wheel (second red dot in the attached image) which involves adding 2 feet to the original 6 feet. That is: c = 8

when the distance covered is $\frac{3\pi}{2}$ , the green dot is at the position of the third red dot in the attached image., that it exactly one foot added to 6 feet = 7 ft which gives the value of d = 7

and finally, when the distance covered is $2\pi$ . the green dot has completed a full circle and is now again in its lower position (nothing - zero) added to 6 feet = 6ft, giving e = 6.

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4 years ago