How many times should the initial velocity of a body thrown vertically upward be increased
| July 22, 2021 | education
How many times should the initial velocity of a body thrown vertically upward be increased in order for the lifting height to quadruple?
To calculate the required increase in the speed of the specified body, we will use the formula: S = h = V ^ 2 / 2g, whence we express: 2g = h / V ^ 2. The resulting equality: hк / Vк2 = hн / Vн ^ 2, whence we express: Vк = √ (hк * Vн ^ 2 / hн) = Vн * √ (hк / hн).
Variable ratios: hк (required height) = 4hн (initial height).
Let’s make a calculation: Vк = Vн * √ (hк / hн) = Vн * √ (4hн / hн) = 2Vn.
Answer: The initial speed of the specified body needs to be doubled.
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