Question

На шоссе расположены пункты K и R, удалённые друг от друга на 39 км. Мотоциклист выехал из пункта R в направлении, противоположном K, со скоростью 45 км/ч. Составь математическую модель, описывающую положение мотоциклиста относительно пункта K через t часов.

Answer 1

45*t-39
!!!!!!!!!!!!!!!!!!!!!!

Answer 2

Mathematical Model for the Motorcyclist's Position

To create a mathematical model describing the position of the motorcyclist relative to point K after t hours, we can use the formula:

Position of the motorcyclist relative to K = Distance traveled by the motorcyclist from R to K - Distance traveled by the motorcyclist in the opposite direction

Let's break down the given information and apply it to the formula:

- The distance between points K and R is 39 km. - The motorcyclist is traveling from point R to point K. - The motorcyclist's speed is 45 km/h.

Using these values, we can calculate the distance traveled by the motorcyclist from R to K:

Distance traveled by the motorcyclist from R to K = Speed * Time

Since the motorcyclist is traveling in the opposite direction, we need to subtract this distance from the total distance between K and R to get the position relative to K.

Let's denote the position of the motorcyclist relative to K as P(t). The mathematical model can be written as:

P(t) = 39 - (45 * t)

Where: - P(t) represents the position of the motorcyclist relative to K after t hours. - 39 represents the total distance between K and R. - 45 represents the speed of the motorcyclist in km/h. - t represents the time in hours.

Please note that this model assumes a constant speed and a linear relationship between time and position.