1. Questions

Calculus

A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and an airplane is flying east above the second road. At a particular time the car is 15 kilometers to the north of P and traveling at 55 km/hr, while the airplane is flying at speed 175 km/hr 10 kilometers east of P at an altitude of 2 km. How fast is the distance between the car and the airplane changing?

Would you use the derivative of the pathagorium theorem? How would you go about doing this?

  1. 👍
  2. 👎
  3. 👁
Meghan

  1. D^2 = Pn^2 + Pe^2 + 2^2

    use implicit differentiation ... 2 D dD/dt = 2 Pn dPn/dt + 2 Pe dPe/dt

    √(15^2 + 10^2 + 2^2) dD/dt = 15 * 55 + 10 * 175

    1. 👍
    2. 👎
    scott

  2. But when I did this, I got 141.96 which according to the database I'm entering this into, Is still incorrect.

    1. 👍
    2. 👎
    Meghan

  4. 141.96 may have too many significant figures

    try rounding to three digits

    1. 👍
    2. 👎
    scott

Respond to this Question

First Name

Your Response

Similar Questions

  1. trig

    a hedgehog wishes to cross a road without being run over. he observes the angle of elevation of a lamp post on the other side of the road to be 27 degrees from the edge of the road and 15 degrees from a point 10m back from the

  2. Science

    1. Polar Easterlies in the Northern Hemisphere blow from east to west*** west to east north to south south to north 2. Westerlies in the Northern Hemisphere blow from east to west west to east*** north to south south to north 3.

  3. Physics Please Check over my answers!

    A passenger in the rear seat of a car moving at a steady speed is at rest relative to *the side of the road a pedestrian on the corner ahead the front seat of the car the wheels of the car A person walks 1 mile every day for

  4. MAths

    A four-wheel-drive vehicle is transporting an injured hiker to the hospital from a point that is 30 km from the nearest point on a straight road. The hospital is 70 km down that road from that nearest point. If the vehicle can

  1. physics

    The accelerating force of the wind on a small 200-kg sailboat is 707 N north. If the drag of the keel is 500 N acting west, what is the acceleration of the boat? A) 1.5 m/s2 35 degrees north of east B) 2.5 m/s2 55 degrees north of

  2. science

    Examine the scenario. A child starts at a position of 2 m east of his house. He moves 1 m south, 5 m west, and then 1 m north. What is his displacement for this trip? 5 m west 1 m north 3 m west 7 m A?

  3. social studies 8 ANSWER PLEASE!!!!!!!!

    what road connected ohio with the east? a. vandalia road b. east-west road c. ohio road d. national road

  4. Statistics

    Four people(North, South, East, West) are each dealt 13 cards from an ordinary deck of 52 cards. a. If South has exactly one ace, what is the probability that his partner North has the other three aces? b. If North and South

  1. PHYSICS

    A river is flowing from west to east at a speed of 8m/min, a man on the south bank of the river , capable of swimming at 20m/min in still water, wants to swim across the river in the shortest time. He should swim in a direction of

  2. mathematics

    An xyz-coordinate system is placed with its origin at the center of the earth, so that the equator (consisting of points with 0-degree latitude) is in the xy-plane, the North Pole (the only point with 90-degree latitude) has

  3. cardinal directions

    what is the difference between Northeast and North of East or East of North. Same with Northwest, what's North of West or West of North?? are these other ways of saying North North East and East North East; North North West and

  4. science

    Which option accurately describes a scenario in which a tortoise experiences a displacement of 10 m south? A tortoise starts at a position of 3 m south. It moves 4 m east, 2 m west, and then 3 m north. A tortoise starts at a

You can view more similar questions or ask a new question.