Two cars are approaching an intersection. One is 2 miles south of the intersection and is moving at a constant speed of 30 milers per hhour. At the same time, the other car is 3 miles east of the intersection and is moving at a constant speed of 40 miles per hour.
Build a model that expresses the distance d between the cars as a function of time t.
Solution
after say time t :
distance between origin and car 1 : 2 - 30t
distance betwen orign and car 2 : 3 - 40t
distance between two cars : use pythagoras theorem as they are always perpendicular
sqrt [(3 - 40t) 2 + (2 - 30t) 2 ] = distance between them !!!
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Two cars are approaching an intersection- One is 2 miles south of the.docx
1. Two cars are approaching an intersection. One is 2 miles south of the intersection and is moving
at a constant speed of 30 milers per hhour. At the same time, the other car is 3 miles east of the
intersection and is moving at a constant speed of 40 miles per hour.
Build a model that expresses the distance d between the cars as a function of time t.
Solution
after say time t :
distance between origin and car 1 : 2 - 30t
distance betwen orign and car 2 : 3 - 40t
distance between two cars : use pythagoras theorem as they are always perpendicular
sqrt [(3 - 40t) 2
+ (2 - 30t) 2
] = distance between them !!!
![Two cars are approaching an intersection. One is 2 miles south of the intersection and is moving
at a constant speed of 30 milers per hhour. At the same time, the other car is 3 miles east of the
intersection and is moving at a constant speed of 40 miles per hour.
Build a model that expresses the distance d between the cars as a function of time t.
Solution
after say time t :
distance between origin and car 1 : 2 - 30t
distance betwen orign and car 2 : 3 - 40t
distance between two cars : use pythagoras theorem as they are always perpendicular
sqrt [(3 - 40t) 2
+ (2 - 30t) 2
] = distance between them !!!](https://image.slidesharecdn.com/twocarsareapproachinganintersection-oneis2milessouthofthe-230128171826-27fad591/85/Two-cars-are-approaching-an-intersection-One-is-2-miles-south-of-the-docx-1-320.jpg)
