How does the body move if the velocity equation is v = 10 + 2t? Write down the coordinate equation at Xo = 25m.

V (t) = 10 + 2 * t.

X0 = 25 m.

X (t) -?

When a body moves with a constant acceleration a, which is called uniformly accelerated, the body’s velocity V (t) changes according to the law: V (t) = V0 + a * t, where V0 is the initial velocity of the body.

For our dependence V (t) = 10 + 2 * t, the initial velocity of the body is V0 = 10 m / s, the acceleration of the body is a = 2 m / s2.

With uniformly accelerated motion, the coordinate of the body changes according to the law: X (t) = X0 + V0 * t + a * t2 / 2.

X (t) = 25 + 10 * t + 2 * t2 / 2 = 25 + 10 * t + t ^ 2.

Answer: the equation of motion of the body is X (t) = 25 + 10 * t + t ^ 2.