The body moves along the X-axis according to the equation x = -5 + 2t + t ^ 2.

The body moves along the X-axis according to the equation x = -5 + 2t + t ^ 2. What path will the body take in the first 5 seconds?

The given problem: the law according to which a given body moves along the X-axis: x (t) = -5 + 2t + t ^ 2; t (initial travel time) = 4 s.

To calculate the path traversed by a given body in the first 5 seconds of movement, we determine the difference between its final and initial coordinates: S = x (5) – x (0) = -5 + 2 * 5 + 5 ^ 2 – (-5 + 2 * 0 + 0 ^ 2) = 35 m.

Answer: In the first 5 seconds, a given body has covered a path of 35 meters.