Question

Тело,двигаясь прямолинейно и равномерно в плоскости, переместилось из точки А с координатами(0;2) в точку В с координатами(4;-1) за время, равное 10 с. Определите содуль скорости тело.

Answer 1

Построить на координатной плоскости точки А(0;2) и В(4; -1).
Провести отрезок АВ, найти его длину по т. Пифагора. Длина катета по оси Оу равна 3, а по оси Ох равна 4.
Длина отрезка АВ² =3²+4²  ⇒ АВ = 5
|v|=5 /10c =  0,5 

Answer 2

Calculation of Velocity Magnitude

To determine the magnitude of the velocity of the object, we can use the formula for average velocity:

Average velocity = (change in displacement) / (change in time)

Given that the object moved from point A with coordinates (0, 2) to point B with coordinates (4, -1) in a straight line and uniform motion, we can calculate the change in displacement and change in time.

The change in displacement is the difference between the final and initial positions:

Change in displacement = (x2 - x1, y2 - y1) = (4 - 0, -1 - 2) = (4, -3)

The change in time is given as 10 seconds.

Now, we can calculate the average velocity:

Average velocity = (4, -3) / 10 = (0.4, -0.3)

The magnitude of the velocity is the absolute value of the average velocity:

Magnitude of velocity = |(0.4, -0.3)| = √(0.4^2 + (-0.3)^2) = √(0.16 + 0.09) = √0.25 = 0.5

Therefore, the magnitude of the velocity of the object is 0.5.