The body falls freely from a height of 40 m. What is its speed at the moment of impact on the ground? Find the time for the body to fall.
November 18, 2020 | education
| Body speed at the moment of falling:
S = (V² – V0²) / 2a, where S is the height of the body falling (S = 40 m), V is the final speed of the body (m / s), V0 is the initial speed of the body (for free fall V0 = 0 m / s) , а – acceleration of the body (а = g, g – acceleration of gravity (we take g = 10 m / s²)).
S = V² / 2g.
V = √ (2g * S) = √ (2 * 10 * 40) = √ (800) = 28.3 m / s.
Fall time:
S = V0 * t + a * t² / 2.
S = g * t² / 2.
t = √ (2S / g) = √ (2 * 40/10) = √ (8) = 2.83 s.
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