answersLogoWhite

0


Best Answer

dx/dt= 25 dy/dt=60 dz/dt=? x^ 2+y^2=z^2 2 x dx/dt +2 y dy/dt = 2 z dz/dt @ t = 2 x= 2* 25 = 50 y= 2* 60 =120 z=SQR (50^2 +120^2) = 130 2*50*25 +2* 120* 60 = 2* 130* dz/dt dz/dt = 65 mph .

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Two cars start moving from the same point. One travels south at 60 mi per hour and the other travels west at 25 mi per hour. At what rate is the distance between the cars increasing two hours later?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Calculus

If thhe distance traveled for an object moving 70 feet per second would be how many feet?

You also need to know how long it travels. Just multiply the speed with the time. For instance, if the object moves at 70 feet/sec during 1 minute, you multiply: 70 ft/sec x 1 minute = 70 ft/sec x 60 sec. = 4200 feet.


What is radial direction?

the direction of OP is call radial direction of the moving point p while the direction of OQ which is perpendicular to OP in the sense of (theta)angle is called transverse direction of the moving point P.


What is a word that means to not give up or to keep going or moving forward?

Persistent.


How do you find the slope on a line graph?

Y-intercept Form From the formula y = mx + bThe y-coordinate of a point on the line equals the product of the slope of the line and the corresponding x-coordinate plus the y-intercept (the vertical line that runs through the point).y - b = mxm = y-b/xCoordinate PointsThe slope of a line can be seen visually and computed from the change between coordinates: the distance along the Y-axis divided by the distance along the X-axis, also known as the "rise over run." You can find the slope by finding whole-number coordinates for points that the line passes through. For a straight line, the slope of any segment is the slope of the line as a whole.The formula is m= Δy/Δxor m = (y1 - y2) / (x1 - x2)- Find the Y-difference between the two points by subtracting the second from the first.- Find the X-difference between the two points by subtracting the second from the first.- Divide the Y-change by the X-change (one or both may be negative)The slope will be the Y-change divided by the X-change. It is a positive slope for an upward slanting line, and a negative slope for a downward slanting line, as seen moving from left to right.Rise over RunThe process is the same, except that you subtract the leftmost, lower X value from the larger X value to create a positive "run" number. Then you subtract the Y value of the leftmost point from the Y value of the rightmost point, giving you a "rise" that may be positive or negative.Examples:1) Finding the slope for a line that runs through the points (2,1) and (5,7). Start at the leftmost point and move right until you reach the other point. In this case, you should move across 3 spaces. So 3 is your "run." At the same time you are moving right, the Y value increases from 1 to 7. This is 6 and is your "rise."Divide the Y-change by the X-change, rise over run, to get 6/3 or a slope of +2.2) Finding the slope for a line that runs through the points (2,1) and (4, -3). Start at the leftmost point and move right until you reach the other point. In this case, you should move across 2 spaces. So 2 is your "run." At the same time you are moving right, the Y value decreases from 1 to -3. This is a drop of 4, or a "rise" (fall) of -4.Divide the Y-change by the X-change, rise over run, to get -4/2 or a slope of -2.As above, an upward slanting line has a positive slope, and a downward slanting line has a negative slope.


What is the difference between has the risk or takes the risk?

one has the word has in and one has the word takes in Diversifiable risk is the risk which can be mitigated by investing in different companies, different sectors, different assets and also different regions. Here we trying to minimize the risk of huge loss by taking the whole risk against one or few companies/ sectors / assets / regions. Non-Diversifiable risk can not be mitigated at all. This is the risk you are exposed to in individual investment. Every investment holds Market risk, i.e. uncertainity of market moving up or down and respective movement of your investment .

Related questions

How do you interpret how an object is moving from a distance time graph?

If the distance is not changing, the object is not moving. If the distance is increasing or decreasing linearly then the object is moving at a constant velocity. If the distance is increasing or decreasing parabolically then the object is being accelerated or decellerated.


What does the speedometer in a moving car show you?

It shows the speed and the distance the car travels.


How can you tell on a distance time graph if the object is moving towards or away from you?

Only if you know your location (the coordinate on the distance scale and the time scale) where "you" are can you infer if the object is moving towards you (the absolute distance to the object is decreasing) or away from you (the distance is increasing).


What happens to the force between to objects being accelerated toward each other by gravitational attraction?

If the distance between them is decreasing, then the mutual gravitational attraction is increasing. They don't necessarily have to be accelerating. Just moving steadily would do it, as long as the separation distance is decreasing.


What happens to the force between two objects being accelerated toward each other by gravitational attraction?

If the distance between them is decreasing, then the mutual gravitational attraction is increasing. They don't necessarily have to be accelerating. Just moving steadily would do it, as long as the separation distance is decreasing.


How does acceleration affect displacement?

If a body travels at a constant speed it will travel a certain distance (doesn't matter how far for our purposes). If it's accelerating then its speed is constantly increasing and therefore it covers more distance over every increment of time that it would if it were moving at its initial speed. So, acceleration increases displacement.


What is same between distance and time?

Keeps on moving


How do you know that a moving object is accelerate?

Either one of the following observations tells you that an object is accelerating: -- Three points in the object's path are not in a straight line. -- The distance the object travels in a period of time is not the same as the distance it travels in another period of the same duration.


Can you find the distance between two moving objects?

The time and distance between two reference points, then compute the average speed.


How do you compute the speed of moving objects?

Distance covered between two points in unit time. eg : distance between A and B /time taken =distance/time


What is uniform velocity and uniform accelration?

If a car moving in a straight line travels equal distance in equal time no matter how small these distances may be, the car is said to be moving with a CONSTANT or Uniform Velocity.


How do you work out force if theres a mass and distance?

If the mass is already moving, then no force is required to move it any desired distance,and if it's not moving, then any force will start it moving. We'll say that there's no definiterelationship between force, mass, and distance.