Closest Distance between 2 ships : Relative Motion : Kinematics

Get ready to take your physics knowledge to the next level with this challenging problem on two ships. Join Physics Guru as we dive into the math and science behind two ships moving in different directions. With clear explanations and helpful tips, learn how to calculate their distance of closest approach and the time it takes to reach it. Perfect for students preparing for JEE and NEET exams. Don't miss out on this exciting learning opportunity and watch now!"

The problem: Two ships A and B are 10 km apart on a line running south to north. Ship A farther north is moving west at 20 km/h and ship B is moving north at 20 km/h. We need to calculate the distance of their closest approach and how long it takes for them to reach it. To solve this problem, we will use the concept of relative velocity and the Pythagorean theorem. By finding the relative velocity of the two ships, we can determine their point of closest approach and the time it takes to reach it. This is a great opportunity to apply physics concepts in real-world scenarios and improve your problem-solving skills.

Ex: Two ships A and B are 10 km apart on a line running south to north. Ship A farther north is streaming west at 20 km/h and ship B is streaming north at 20 km/h. What is their distance of closest approach and how long do they take to reach it?

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[kamranrelacity]

Sir when you applied Pythagorus theorem you You squared the 10 also so it became 100 but you also Square root d^2 + d^2 so that was the mistake the actual answer is 10/2^1/2 means 10 by root 2

[lioneliteunant]

Thank you Sir I was struggling with this question 🙏🏻

[promk]

Thank you. One more question please. Two cars are traveling along two straight, level roads towards a crossing, at an angle of 105⁰ . Their speeds are 60km/h and 30 km/h respectively. The second car passes the crossing 2 minutes after the first. Calculate: The distance of each car from the crossing when they are nearest to each other.

[worldalicious]

Thank you so much sir...the explanation was just perfect

[ArnavJain-ze]

Thanks a lot sir. Poora concept agaya ab samajh. Warna bohot dikkat tha mereko pehle

[adnanahmadknowledgevideo]

Thank you Sir mujhe samajh aagay
But mera ek question hai ki A actually mai to move nahi kar raha 45 degree ke angle mai wo to uska motion hai B ke relative this means that A West ke traf move hoga and B north ka taraf to kuch der baad ek aisa time aayega jab A and B ka distance Closest hoga "d" ke barabar that is 50√2 Km. Am I correct ?please reply.

[RajshekharPal]

Sir, iss question ne mujhe raat ko sone nahi diya tha. But the concept is clear now😊😊😊😊😊😊. Thank you sir

[Lunalovegood-dx]

Sir the ans is 5√2 km not 50√2 km hence the time also changes . 😢

[SumitKumarMandal-mogj]

SACHIN SIR ISSS LINE KABSE AAGYA😂
BTW THANK YOU SIR❤

[saikiranallankisaikiran]

Sir u did wrong sir Pythagoras theorem

[vanditachaturvedi]

Wrong the correct answer is 10\/2 m and 0.5 hr