Two material points simultaneously begin to move along the OX axis. The law of motion of the first point x1 = 10 + 4t (m)

Two material points simultaneously begin to move along the OX axis. The law of motion of the first point x1 = 10 + 4t (m), the second x2 = 4 + 6t (m). Determine at what point in time and at what point on the trajectory they will meet.

Let’s compose a system of equations that simulates the motion of both points:

x1 = 10 + 4 * t

x2 = 4 + 6 * t

At the meeting point x1 = x2. We solve the equation:

10 + 4 * t = 4 + 6 * t

6 * t – 4 * t = 10 – 4

2 * t = 6

t = 3

The dots will meet in three seconds.

Meeting point coordinates:

x = 4 + 6 * t = 4 + 6 * 3 = 22 meters.