The movement of two bodies is described by the equations x1 = 2t and x2 = 4-2t analytically

The movement of two bodies is described by the equations x1 = 2t and x2 = 4-2t analytically determine the time and place of the meeting.

x1 (t) = 2 * t.
x2 (t) = 4 – 2 * t.
tvs -?
hvs -?
With uniform rectilinear motion, the dependence of the coordinate on time x (t) has the form: x (t) = x0 + V * t, where x0 is the coordinate of the initial position of the body, V is the speed of uniform rectilinear motion.
We see that both bodies move uniformly in a straight line. For the dependence x1 (t) = 2 * t, x10 = 0m, V1 = 2 m / s, for x2 (t) = 4 – 2 * t, x20 = 4 m, V2 = -2 m / s. The “-” sign indicates that the second body is moving in the opposite direction of the oh axis.
When meeting x1 = x2.
2 * tvs = 4 – 2 * tvs.
4 * tvs = 4.
tvs = 1 s.
hvs = 2 * 1 = 2 m.
Answer: the bodies will meet at the point with the coordinate хвс = 2 m, after time tвс = 1 s.



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