Question

Движения двух велосипедистов заданы уравнениями: x1= 50+5t и x2 150 - 15t. Найдите время и место встречи.

Answer 1

Problem Analysis

We are given the equations of motion for two cyclists: x1 = 50 + 5t and x2 = 150 - 15t. We need to find the time and location of their meeting.

Solution

To find the time and location of their meeting, we need to find the values of t and x at the point where x1 and x2 are equal.

Setting x1 equal to x2, we have: 50 + 5t = 150 - 15t

Simplifying the equation, we get: 20t = 100

Dividing both sides by 20, we find: t = 5

Now, substituting the value of t back into either equation, we can find the location of their meeting.

Using x1 = 50 + 5t, we have: x1 = 50 + 5(5) x1 = 50 + 25 x1 = 75

Therefore, the time of their meeting is t = 5 and the location of their meeting is x = 75.

Summary: The two cyclists will meet at time t = 5 and location x = 75.