The body moves in a straight line with an acceleration of 0.6 m / s. What path will it travel in the first and tenth seconds

The body moves in a straight line with an acceleration of 0.6 m / s. What path will it travel in the first and tenth seconds if the initial velocity was zero?

S = V0 * t + a * t² / 2, where V0 is the initial speed (V0 = 0 m / s), a is the acceleration (a = 0.6 m / s²), t is the movement time (s).
S = a * t² / 2.
Distance covered in the first second:
S = a * t² / 2 = 0.6 * 1² / 2 = 0.3 m.
Distance covered in tenth second:
S = S (10) – S (9) = 0.6 * 10² / 2 – 0.6 * 9² / 2 = 30 – 24.3 = 5.7 m.
Check:
S1: S2 … S9: S10 = 0.3: 0.9 … 5.1: 5.7 (2n – 1) = 1: 3 … 17:19.
Answer: The car will travel 0.3 m in the first second and 5.7 m in the tenth second.



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