What is the body’s acceleration modulus if, in the eighth second from the start of motion, it has passed 30 m

| January 1, 2021 | education

What is the body’s acceleration modulus if, in the eighth second from the start of motion, it has passed 30 m from the state of rest? what path will the body take in fifteen seconds?

Task data: S (8) – path in the eighth second (S (8) = 30 m).
1) Acceleration of the specified body: S (30) = a * t8 ^ 2/2 – a * t7 ^ 2/2 = a * (t8 ^ 2 – t7 ^ 2) / 2, whence a = 2S (8) / ( t8 ^ 2 – t7 ^ 2) = 2 * 30 / (8 ^ 2 – 7 ^ 2) = 4 m / s2.
Check: a = 2S / (2n – 1) = 2 * 30 / (2 * 8 – 1) = 60/15 = 4 m / s2 correct).
2) The path of the specified body in the fifteenth second: S (15) = a * (t152 – t142) / 2 = 4 * (152 – 142) / 2 = 58 m.
Check: S (15) = a * (2n – 1) / 2 = 4 * (2 * 15 – 1) / 2 = 4 * 29/2 = 58 m (correct).
Answer: The acceleration of this body was 4 m / s2, in the fifteenth second it covered a distance of 58 m.



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