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To find the distance traveled by a point on the edge of the wheel, we first need to calculate the average angular velocity. The wheel accelerates from 240 rpm to 360 rpm, so the average angular velocity is (240 + 360) / 2 = 300 rpm. Converting this to radians per second, we have 300 rpm × (2π rad / 1 min) × (1 min / 60 s) = 31.42 rad/s.

The wheel travels for 6.5 seconds, so the total angular displacement is 31.42 rad/s × 6.5 s = 204.23 radians. The circumference of the wheel is π × diameter = π × 0.33 m ≈ 1.04 m. Therefore, the distance traveled is 204.23 radians × 0.33 m/radian ≈ 67.39 m.

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