Find the range of a body thrown horizontally at a speed of 72 km / h from a height of 80 m.
April 27, 2021 | education
| The flight time will be determined by the vertical travel time. Let’s write down the law of motion:
x = h – gt ^ 2/2, g – gravitational acceleration, t – time.
We take the ground level as the reference point, then x = 0:
h – gt ^ 2/2 = 0;
t ^ 2 = 2h / g;
t = √2h / g.
We substitute the known values:
t = √2 * 80/10 = 4 s.
During this time, the body will fly in the horizontal direction (72 km / h = 20 m / s):
20 * 4 = 80 m.
Answer: the desired flight range of the body is 80 m.
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