With the uniform movement of a point along a straight line coinciding with the oh axis

With the uniform movement of a point along a straight line coinciding with the oh axis, the coordinate of the point changed from -8 to 8. Find the time during which this change occurred if the modulus v = 4m / s. What path will the point travel during this time?

X0 = – 8 m.

X = 8 m.

V = 4 m / s.

t -?

S -?

The path S is the length of the line that the material point describes when moving. Since a material point moves rectilinearly along the OX axis, then its path S will be expressed by the formula: S = X – X0, where X is the coordinate of the body at the end of the movement, X0 is the coordinate of the body at the beginning of the movement.

S = 8 m – (- 8 m) = 16 m.

With uniform rectilinear movement, the time of movement t is determined by the ratio of the distance traveled S to the speed of movement V: t = S / V.

t = 16 m / 4 m / s = 4 s.

Answer: the material point moved for time t = 4 s and passed the path S = 16 m.