Monday

October 20, 2014

October 20, 2014

Posted by **saud** on Saturday, October 29, 2011 at 10:10pm.

Find the velocity of the top of the ladder at time t=2.

The velocity of ladder at time t=2 is ........ft/sec.

- Calculus -
**Reiny**, Sunday, October 30, 2011 at 12:03amlet foot of ladder be x ft from wall

let top of ladder by y ft above grouns

x^2 + y^2 = 15^2

2x dx/dt + 2y dy/dt = 0

so when t = 2, x = 4+6 = 10

y^2 = 225-100 = 125

y = √125 , and dx/dt = 3

2(10)(3) + 2(√125 dy/dt = 0

dy/dt = -60/(2√125)

= -30/√125

= appr. -.2.68 ft/sec

(the negative sign indicates the ladder is moving downwards)

- ap wizardry -
**Maroneys School of wizardry**, Monday, January 7, 2013 at 1:10pmaccording to the ap wizardry handbook, using the demon spawn spell, the problem can be obliterated thorugh fire spitting dragons that originiate from the vave of JF.

**Answer this Question**

**Related Questions**

Math - A 15 ft ladder leans against a wall. The bottom of the ladder is 3 ft ...

Calculus - A 18 ft ladder leans against a wall. The bottom of the ladder is 4 ft...

Calculus - 1a. 15 ft ladder is placed against a vertical wall. the bottom of the...

Calculus Ladder Problem - A ladder 20 ft long rests against a vertical wall. Let...

Calculus 1 - A ladder 10ft long rests against a vertical wall. If the bottom on ...

Calculus - A ladder 10 ft long rests against a vertical wall. If the bottom on ...

calculus - A ladder 10 ft long rests against a vertical wall. let θ be the ...

calculus - A ladder 14 ft long rests against a vertical wall. Let \theta be the ...

Pre-Calculus - A ladder leans leans against a building that has a wall slanting ...

math - A ladder 10 ft long rests against a vertical wall. let θ be the ...