# The kinematic law of motion of a material point along the Ox axis has the form

The kinematic law of motion of a material point along the Ox axis has the form: x = A + Bt + Ct ^ 2, where A = 5.00 m, B = 10.0 m / s, C = 4.00 m / s2. Determine the projection of the speed of its movement through the time interval Δt = 4.00 s from the beginning of the movement.

x (t) = A + B * t + C * t ^ 2.

A = 5.00 m.

B = 10.0 m / s.

C = 4.00 m / s2.

Δt = 4.00 s

Vx -?

When a body moves with constant acceleration a, the coordinate of the body changes according to the law: x (t) = x0 + V0x * t + ax * Δt ^ 2/2, where x0 is the initial coordinate of the body, V0x is the projection of the initial velocity, and ax is the projection of the acceleration onto coordinate axis.

Therefore, x0 = A = 5.00 m, V0x = B = 10.0 m / s, ax = 2 * C = 2 * 4.00 m / s2 = 8.00 m / s2.

When moving with constant acceleration, the projection of the speed Vx has a dependence: Vx (t) = V0x + ax * Δt.

Vх (t) = 10 + 8 * Δt.

Vх = 10 + 8 * 4 = 42 m / s.

Answer: the body, while moving, increased the projection of the speed to Vx = 42 m / s. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.