The point moves according to the law x (t) = t ^ 2-5t (x- coordinate of the point, t- time) What happens with the speed of the point?
x (t) = t ^ 2 – 5 * t.
V (t) -?
The dependence of the speed of movement of a material point V (t) is the derivative of the dependence of its coordinate x “(t): V (t) = x” (t).
V (t) = (t ^ 2 – 5 * t) “= 2 * t – 5.
With uniformly accelerated motion, the speed of the point changes according to the law: V (t) = V0 + a * t, where V0 is the initial speed of the material point, and is the acceleration.
V0 = – 5 m / s, a = 2 m / s2.
At the initial moment of time t = 0 s, the material point moves in the opposite direction of the direction of the ОХ axis at a speed of 5 m / s. The material point begins to decrease its speed equally accelerated with acceleration a = 2 m / s2 to 0 and after a time t = 2.5 it stops.
Further, the point begins to increase its speed equally accelerated with acceleration a = 2 m / s2 and move in the direction of the OX axis.
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