The projection of the train’s movement changes according to the law: Sx = 5t + 0.3t ^ 2
The projection of the train’s movement changes according to the law: Sx = 5t + 0.3t ^ 2 Write the equation for the dependence of the projection of the train speed on time.
Sx (t) = 5 * t + 0.3 * t ^ 2.
Vx (t) -?
When moving with constant acceleration, the projection of the movement of the body Sx (t) changes according to the law: Sx (t) = V0x * t + ax * t ^ 2/2, where V0x is the projection of the initial velocity of the body, and ax is the projection of acceleration.
We see that for the dependence Sx (t) = 5 * t + 0.3 * t ^ 2, the projection of the initial velocity of the body is V0x = 5 m / s, the projection of acceleration is ax = 0.6 m / s2.
With uniformly accelerated motion, the projection of the velocity Vx (t) changes according to the formula: Vx (t) = V0x + ax * t.
The dependence of the projection of speed on time will have the form: Vx (t) = 5 + 0.6 * t.
Answer: Vx (t) = 5 + 0.6 * t.