The body coordinate equation is x = 6 + 7t2. What is this movement? Write a formula for the dependence

The body coordinate equation is x = 6 + 7t2. What is this movement? Write a formula for the dependence of body speed on time. What are the speed and coordinate of the body in 6 s?

This equation is the equation of uniformly accelerated motion, the initial coordinate of the body is {6}. The body moves in the direction of the OX axis, because the projection is positive. S = a * t ^ 2/2. Consequently, a = 14m / c ^ 2.
v1 = a * t = 14 * 6 = 84m / s
s = 14 * 36/2 = 7 * 36 = 252m
Accordingly, the coordinate is x1 = 6 + 252 = 258
Answer: V = 84m / s ^ 2, x = 258



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