The body’s velocity equation has the form: V = 5 + 2t. Find the movement of the body in the fifth second.

Initial data: V = 5 + 2 * t (body velocity equation).

1) Initial velocity of the body: V0 = 5 + 2 * 0 = 5 m / s.

2) Acceleration of the body: a = V ‘= (5 + 2 * t)’ = 0 + 2 * 1 = 2 m / s ^ 2.

3) The distance that the body will cover in 5 s: S5 = V0 * t5 + 0.5 * a * t2 ^ 2 = 5 * 5 + 0.5 * 2 * 5 ^ 2 = 50 m.

4) The distance that the body will travel in 4 s: S4 = V0 * t4 + 0.5 * a * t4 ^ 2 = 5 * 4 + 0.5 * 2 * 4 ^ 2 = 36 m.

5) Moving the body in the fifth second: S (5) = S5 – S4 = 50 – 36 = 14 m.

Answer: The movement of the body is 14 meters.



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