A rocket moving from a state of rest with an acceleration of 80 m s on a path of 1000 m acquires a speed …

Task data: V0 (initial speed of a given rocket) = 0 m / s (movement from rest); a (rocket acceleration) = 80 m / s2; S (distance traveled) = 1000 m.

To determine the velocity acquired by the rocket, we apply the formula: S = (V ^ 2 – V0 ^ 2) / 2a = (V ^ 2 – 0 ^ 2) / 2a, whence V = √ (2a * S).

Calculation: V = √ (2 * 80 * 1000) = 400 m / s.

Answer: The rocket should acquire a speed of 400 m / s.



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