A racing car goes round a flat circular track of radius 100 m, speeding up. The driver controls the throttle so that the car's total acceleration always makes an angle of 60° with its velocity. How far along the track does the car travel while its speed rises from 10 m/s to 20 m/s?

PhysicsAdvancedHigh School (11–12)Mechanics › Circular Motion JEE Advanced Olympiad

A racing car goes round a flat circular track of radius $100\ \text{m}$ , speeding up. The driver controls the throttle so that the car's total acceleration always makes an angle of $60^\circ$ with its velocity. How far along the track does the car travel while its speed rises from $10\ \text{m/s}$ to $20\ \text{m/s}$ ?

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