How close?

Calculus Level 3

Two ships A and B are 4 km apart. A is due west of B. If A moves with a uniform velocity of 8 km/hr due east and B moves with a uniform velocity of 6 km/hr due south, calculate the closest distance (in kms) apart of A and B.


The answer is 2.4.

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Anubhav Sharma by Anubhav Sharma , 20, USA

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2 solutions

Anubhav Sharma
Dec 30, 2016

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Same method of course:)

Dan Ley - 4 years, 5 months ago

This is a very long solution.If u use the concept of relative velocity, we can get the solution in a minute without calculus!!

Harry Jones - 4 years, 5 months ago

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Go ahead and write a solution, it would be nice to see:)

Dan Ley - 4 years, 5 months ago

See this video for inspiration: https://www.youtube.com/watch?v=uVAgK3Vi3KQ

Harry Jones - 4 years, 5 months ago
Anubhav Tyagi
Jan 2, 2017

This is basically a mechanics problem. Find velocity of A wrt B . After this draw the path of motion of A as seen by B. The minimum distance between the two is the perpendicular distance of path of A (as seen by B) from initial position of B

0 Helpful 0 Interesting 0 Brilliant 0 Confused

yup did the same!

Prakhar Bindal - 4 years, 5 months ago

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