Wednesday

October 22, 2014

October 22, 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.

**Answer this Question**

**Related Questions**

Calculus - Two automobiles are traveling on intersecting roads. The first ...

pysics - two automobiles are 60 miles apart an dtraveling in the same direction...

physics - An automobile travelling with an initial velocity of 25m/s is ...

physics - Two cars leave the same point at the same time, each travelling at the...

physics - Two cars leave the same point at the same time, each travelling at the...

physics - An automobile moving at a constant velocity of 15 m/s passes a ...

Maths - There are two trains. The first train is travelling at 52 km/h. The ...

Physics - An automobile moving at a constant velocity of 25m/s passes a gasoline...

physics - an automobile moving at constant velocity of 15m/sec passes a gasoline...

physics - an automobile moving at a constant velocity of 50 ft/sec passes a ...