Determine the acceleration, initial velocity and initial coordinate of the body X = 10-8t + t ^ 2

X (t) = 10 – 8 * t + t ^ 2.

but – ?

V0 -?

X0 -?

With uniformly accelerated motion of the body, the coordinate of the body changes X (t) according to the formula: X (t) = X0 + V0 * t + a * t ^ 2/2, where X0 is the coordinate of the initial position of the body, V0 is the initial velocity of the body, and is the acceleration body.

For the dependence X (t) = 10 – 8 * t + t ^ 2, the initial coordinate of the body is X0 = 10 m, the initial velocity V0 = – 8 m / s, the acceleration of the body is a = 2 m / s2.

The sign “-” in the initial velocity shows that it is directed in the opposite direction of the acceleration of the body a, that is, in the opposite direction of the action of the force. The body will first be decelerated until it comes to a complete stop, and then it will move in the direction of the force.

Answer: X0 = 10 m / s, V0 = 8 m / s, a = 2 m / s2.