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If a car is going around a 360 degree circle at 1 g (its maximum centripetal acceleration, and its maximum total acceleration) and then longitudinally accelerates ("gives it the gas") at .5 g (or tries to, while still cornering) for the next 45 degrees, what would be the formula for the radius the car is on while it is longitudinally accelerating?

How would it's velocity be calculated at points along its path?

(You can assume a velocity and a radius for the initial 360 degree circle if you need to. You can assume the centripetal acceleration decreases at the same rate the longitudinal acceleration increases if you need to.)

Thanks.

How would it's velocity be calculated at points along its path?

(You can assume a velocity and a radius for the initial 360 degree circle if you need to. You can assume the centripetal acceleration decreases at the same rate the longitudinal acceleration increases if you need to.)

Thanks.

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