What speed does a motor boat develop after passing 800 m from rest with an acceleration of 4 m / s?
August 27, 2021 | education|
Initial data: S (distance traveled by the motor boat) = 800 m; a (the acceleration with which the motor boat was moving) = 4 m / s ^ 2; V0 (initial speed of the motor boat) = 0 m / s (the boat was picking up speed from rest).
The speed that the boat has developed can be determined from the formula: S = (V ^ 2 – V0 ^ 2) / 2a = V ^ 2 / 2a.
V ^ 2 = 2a * S and V = √ (2a * S).
Let’s calculate: V = √ (2 * 4 * 800) = V = √6400 = 80 m / s.
Answer: The motor boat can reach a speed of 80 m / s.
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