To anticipate the dip and the hump in the road, the driver of a car applies his brakes to produce a uniform deceleration. His speed is 100kph at the bottom A of the dip and 50 kph at the top C of the hump. The length of the road from A to Cis 120m. The radius of curvature of the hump at Cis 150m. The total acceleration at A is 3 m/s^2. Compute the radius of curvature at A. 60 m 60 m A

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To anticipate the dip and the hump in the road, the driver of a car applies his brakes to produce a uniform deceleration. His speed is
100kph at the bottom A of the dip and 50 kph at the top Cof the hump. The length of the road from A to Cis 120m. The radius of
curvature of the hump at C is 150m. The total acceleration at A is 3 m/s^2.
Compute the radius of curvature at A.
C
60 m
В
60 m
A
A) 612.15m
B) 502.39m
c) 432.32m
D 243.23m
E) 549.81m
Transcribed Image Text:To anticipate the dip and the hump in the road, the driver of a car applies his brakes to produce a uniform deceleration. His speed is 100kph at the bottom A of the dip and 50 kph at the top Cof the hump. The length of the road from A to Cis 120m. The radius of curvature of the hump at C is 150m. The total acceleration at A is 3 m/s^2. Compute the radius of curvature at A. C 60 m В 60 m A A) 612.15m B) 502.39m c) 432.32m D 243.23m E) 549.81m
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