Question

СРОЧНО!!! Человек с земли вертикально вверх бросил камень со скоростью 7 м/с. Найдите высоту, на которую поднимется камень. Через какое время камень достигнет своей верхней точки? Через какое время камень вернется к человеку?

Answer 1

H-высота
H=Vo^2/2g=49/20=2,45
t подъёма=t спуска=√2h/g=√0,49=
0,7 с

Answer 2

Calculation of the Height Reached by the Stone

To calculate the height reached by the stone, we can use the equations of motion. The initial velocity of the stone is given as 7 m/s, and we need to find the height it reaches.

The equation we can use is:

v^2 = u^2 + 2as

Where: - v is the final velocity (which is 0 when the stone reaches its highest point) - u is the initial velocity (7 m/s) - a is the acceleration due to gravity (-9.8 m/s^2, taking into account the direction) - s is the displacement (the height we want to find)

Rearranging the equation, we get:

s = (v^2 - u^2) / (2a)

Substituting the given values, we have:

s = (0^2 - 7^2) / (2 * -9.8)

Simplifying the equation, we find:

s = 24.5 meters

Therefore, the stone will reach a height of 24.5 meters.

Time Taken to Reach the Highest Point

To find the time taken for the stone to reach its highest point, we can use the equation:

v = u + at

Where: - v is the final velocity (0 m/s) - u is the initial velocity (7 m/s) - a is the acceleration due to gravity (-9.8 m/s^2) - t is the time taken

Rearranging the equation, we get:

t = (v - u) / a

Substituting the given values, we have:

t = (0 - 7) / -9.8

Simplifying the equation, we find:

t ≈ 0.71 seconds

Therefore, it will take approximately 0.71 seconds for the stone to reach its highest point.

Time Taken for the Stone to Return to the Person

To find the total time taken for the stone to return to the person, we can double the time taken to reach the highest point. This is because the stone takes the same amount of time to reach the highest point as it does to return to the person.

Therefore, the time taken for the stone to return to the person is approximately 2 * 0.71 seconds, which is approximately 1.42 seconds.