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A person driving her car at 35 km/h approaches an
Chapter 2, Problem 73GP(choose chapter or problem)
A person driving her car at \(35 \mathrm{\ km} / \mathrm{h}\) approaches an intersection just as the traffic light turns yellow. She knows that the yellow light lasts only 2.0 s before turning to red, and she is 28 m away from the near side of the intersection (Fig. 2–49). Should she try to stop, or should she speed up to cross the intersection before the light turns red? The intersection is 15 m wide. Her car’s maximum deceleration is \(-5.8 \mathrm{\ m} / \mathrm{s}^{2}\), whereas it can accelerate from \(45 \mathrm{\ km} / \mathrm{h}\) to \(65 \mathrm{\ km} / \mathrm{h}\) in 6.0 s. Ignore the length of her car and her reaction time.
Equation Transcription:
Text Transcription:
35 km/h
-5.8 m/s^2
45 km/h
65 km/h
+x
Questions & Answers
QUESTION:
A person driving her car at \(35 \mathrm{\ km} / \mathrm{h}\) approaches an intersection just as the traffic light turns yellow. She knows that the yellow light lasts only 2.0 s before turning to red, and she is 28 m away from the near side of the intersection (Fig. 2–49). Should she try to stop, or should she speed up to cross the intersection before the light turns red? The intersection is 15 m wide. Her car’s maximum deceleration is \(-5.8 \mathrm{\ m} / \mathrm{s}^{2}\), whereas it can accelerate from \(45 \mathrm{\ km} / \mathrm{h}\) to \(65 \mathrm{\ km} / \mathrm{h}\) in 6.0 s. Ignore the length of her car and her reaction time.
Equation Transcription:
Text Transcription:
35 km/h
-5.8 m/s^2
45 km/h
65 km/h
+x
ANSWER:
Step 1 of 3
Distance of the car from intersection:
Width of the intersection:
Initial speed of the car:
Maximum deceleration of car:
We will check the case when the car is stopped and if the car speeds up.