Determine Volo, a, V = V (t) using the equation of the coordinate versus time, indicate the type of movement. X = 5-2t ^ 2

| June 26, 2021 | education

X (t) = 5 – 2 * t ^ 2.

Vo -?

Xo -?

a -?

V (t) -?

When the body moves with constant acceleration a, the dependence of the coordinates of the body on time X (t) has the form: X (t) = Xo + Vo * t + a * t ^ 2/2, where Xo is the initial coordinate of the body, Vo is the initial velocity of the body …

For the dependence X (t) = 5 – 2 * t ^ 2, we see that the initial coordinate of the body is Xo = 5 m, the initial velocity of the body is Vo = 0 m / s, the acceleration of the body is a = 4 m / s2.

Since there is a “-” sign in front of acceleration a, this means that the body is moving in the opposite direction to the direction of the OX axis.

With uniformly accelerated motion, the speed of the body changes according to the formula: V (t) = Vo + a * t.

V (t) = 4 * t.

Answer: the body moves uniformly accelerated in the opposite direction of the OX axis direction, Xo = 5 m, Vo = 0 m / s, a = 4 m / s2.



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