(1 point) two carts, a and b, are connected by a rope 39 ft long that passes over a pulley p. the point q is on the floor 12ft directly beneath p and between the carts. cart a is being pulled away from q at a speed of 2ft/s. how fast is cart b moving toward q at the instant when cart a is 5ft from q

Step-by-step explanation:

Given :

Velocity of A = 2ft/s

Rope length = 39 ft

Let x be the distance between A and Q (refer the image).

Let y be the distance between Q and B (refer the image).

Thus from the image,

Now differentiating the above equation with respect to time t

at and  

For B point,

        (refer the image)

Now differentiating,

So, at and

(negative sign represents opposite direction)

For more information, refer the link given below

link

Step-by-step explanation:

Given

Velocity of point A is 2 ft/s

Length of rope is 39 ft

let x be the distance of A from Q and y be the distance of point B from Q

thus From Diagram

Differentiating

at x=5 ft L=13 ft

thus

For point B

Differentiate w.r.t time

at

thus

hi how are you doing today? if you ever need just tell me

step-by-step explanation: