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September 20, 2014

September 20, 2014

Posted by **Antia** on Tuesday, April 10, 2012 at 10:32am.

- Calculus -
**Steve**, Tuesday, April 10, 2012 at 3:26pmLet (0,0) be where the first car started. Then its vector will be

u = 35/√2 t i + 35/√2 t j

= 24.75ti + 24.75tj

The second car starts at (0,7), so its vector is

v = 25ti + 7j

Is there a value for t where the two are equal? Let's see.

It will take car1 7/24.78=.2828 hr to travel 7km east and 7km north

It will take car2 7/25=.2800 hr to travel 7km east, staying at 7km north.

So, since .0028 hrs is about 10 seconds, there probably won't be a crash.

- Calculus - PS -
**Steve**, Tuesday, April 10, 2012 at 3:29pmHmm. I see a typo. Car 1 travels at 24.7487, not 24.78km/hr

So, it takes 7/(35/√2) = √2/5 = 0.2828 hrs. Same answer.

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