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Science-Related Homework Help Calculus Topic started by: Mathus on Aug 5, 2019



Title: Topic is related rates
Post by: Mathus on Aug 5, 2019
 Q1)a ship moving 30km/hr is 6km from a straight beach and is moving parallel to the beach. How fast is the ship approaching a light house on the beach when 10km (straight line distance) from it?

Q2) A rope runs over a bully at A and is attached at B. The rope is being wound in at a rate of 2m/s. How fast is B rising when AB is horizontal?

Q3) a lamp is located on the ground 10m from a building. A person 2m tall walks form the light towards the building at a rate of 2m/sec. Find the rate at which the persons shadow on the wall is shortening when the person is 5m from the building.


Title: Re: Topic is related rates
Post by: bio_man on Aug 5, 2019
Q1)a ship moving 30km/hr is 6km from a straight beach and is moving parallel to the beach. How fast is the ship approaching a light house on the beach when 10km (straight line distance) from it?

Will be back in 2 hours to answer 2 and 3.

The answer to 1 is attached.
Post Merge: 4 years ago

Q3) a lamp is located on the ground 10m from a building. A person 2m tall walks form the light towards the building at a rate of 2m/sec. Find the rate at which the persons shadow on the wall is shortening when the person is 5m from the building.


Title: Re: Topic is related rates
Post by: bio_man on Aug 5, 2019
Any thoughts on #2? I'm a little confused myself. Let me know what you think...


Title: Re: Topic is related rates
Post by: Mathus on Aug 5, 2019
hello in question 2 there is a mistake
Q2) a rope runs over a pulley at A and is attached at B. The rope is being wound in at the rate of 2m/sec. How fast is B rising when AB is horizontal?

i have a diagram but how do i upload it


Title: Re: Topic is related rates
Post by: bio_man on Aug 5, 2019
Click "reply" button, then you'll see "attachments ..." , upload there.


Title: Re: Topic is related rates
Post by: Mathus on Aug 5, 2019
this is the diagram


Title: Re: Topic is related rates
Post by: bio_man on Aug 5, 2019
I can't seem to get this one no matter what I try. :-( If I think of a way, I'll update this thread.

By the way, what trips me up is the wording "How fast is B rising when AB is horizontal?"