Friday

August 29, 2014

August 29, 2014

Posted by **eve** on Sunday, July 31, 2011 at 7:32am.

- Math -
**Reiny**, Sunday, July 31, 2011 at 10:01amlet's look at t hrs after the above condition

let the distance between them be D miles

then

D^2 = (40t+8)^2 + (15+60t)^2

2D dD/dt = 2(40t+8)(40) + 2(15+60t)(60)

dD/dt = [ 40(40t+8) + 60(15+60t) ]/D

when t = 0 , the above condition,

D = √8^2+15^2) = 17

and

dD/dt = [ 40(8) + 60(15) ]/17 = 71.76

At that moment they are separating at 71.8 mph

**Related Questions**

Math - A car is heading east toward an intersection at the rate of 40 mph. A ...

FREE BODY DIAGRAM calculus - A car is traveling north towards an intersection at...

Physics - Momentum of cars at intersection - Two cars of identical mass are ...

calculus - A car leaves an intersection traveling east. Its position t sec later...

physics - A car with a mass of 980 kg is initially traveling east toward an ...

Calculus - A team has been working to convert diesel-powered cars to run just as...

Math - A team has been working to convert diesel-powered cars to run just as ...

CALCULUS - A gas station stands at the intersection of a north-south road and an...

Calculus - 4. A gas station stands at the intersection of a north-south road and...

Calculus - A car leaves an intersection traveling west. Its position 5 sec later...