Question

A person stands 121212 meters east of an intersection and watches a car driving away from the intersection to the north at 444 meters per second. At a certain instant, the car is 999 meters from the intersection. What is the rate of change of the distance between the car and the person at that instant (in meters per second)

Answer 1

Answer: The rate of change of the distance between the car and the person at that instant is 3.7 m/s

Step-by-step explanation: Please see the attachments below

Answer 2

2.4

Explanation:

x^2 + y^2 = z^2

Take derivative

2x*x' + 2y*y' = 2z*z'

2(9)(4) + 2(2)(0) = 15(2)(x)

y is a constant so its derivative is 0

Solve for X.

2.4