Question

Материальная точка движется по закону; х= 2+ 3tКакое это движение ? Помогите пожалуйста найти-1) Начальную координату точки ( в момент времени t0 = 02) координату в момент времени t1= 1с 3) Найдите модуль и направление скорости.

Answer 1

Равномерное
нач координата равна 2
в момент времени 1 с она равна 5
скорость 3м/с в положительном направлении оси х

Answer 2

Motion of a Material Point

The motion of a material point described by the equation x = 2 + 3t represents a linear motion. This is because the equation represents a straight line in the coordinate system, where the position of the point changes linearly with time.

Finding Initial Coordinate and Coordinate at t=1s

1. Initial Coordinate (t=0): The initial coordinate of the point at time t=0 is given by substituting t=0 into the equation x=2+3t. This gives x=2. - Source:

2. Coordinate at t=1s: To find the coordinate of the point at t=1s, substitute t=1 into the equation x=2+3t. This gives x=5. - Source:

Finding the Speed's Magnitude and Direction

The speed of the material point can be found by differentiating the position equation with respect to time.

The derivative of x=2+3t with respect to t is dx/dt=3. This represents the velocity of the point, which is constant and equal to 3.

Therefore, the magnitude of the speed is 3 units per second, and the direction is along the positive direction of the x-axis.