What speed will the ball acquire, falling without initial speed, from a certain height within 11 s?
May 6, 2021 | education
| The speed of a body v, freely falling on the surface of the Earth, if the air resistance is neglected, is determined by the formula:
v = v₀ + g ∙ t, where t is the fall time, v₀ is the initial speed of movement, g ≈ 9.8 m / s ^ 2 is the acceleration of gravity, it can be considered g ≈ 10 m / s ^ 2.
To determine what speed the ball will acquire, falling without initial speed, that is, v₀ = 0 m / s, from a certain height during the time t = 11 s, we substitute the values of the quantities into the calculation formula:
v = 0 m / s + 10 m / s ^ 2 ∙ 11 s;
v = 110 m / s.
Answer: the ball will acquire a speed of 110 m / s.
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