Question

Я сижу на ветке над водой. Расстояние между водой и веткой 10 метров. Я вешу 50 кг. С какой скоростью я долечу до воды. И сколько времени я буду лететь

Answer 1

Если это свободное падение, то масса роли не играет, камушек полетит так же.

h=(V^2-V0^2)/2g=V^2/2g (V0=0)

V^2=2gh=2*10*10, V=10√2≈10*1,4≈14 м/с перед входом в воду.

V=V0+gt, V=gt, t=V/g=10√2/10=√2≈1,4 c - время падения.

Answer 2

Calculating the Speed and Time of Fall

To calculate the speed at which you will reach the water and the time it will take, we can use the principles of free fall and the equations of motion.

The equation we will use is:

d = (1/2) * g * t^2

where: - d is the distance between the branch and the water (10 meters), - g is the acceleration due to gravity (approximately 9.8 m/s^2), - t is the time of fall.

To find the time of fall, we rearrange the equation:

t = sqrt((2 * d) / g)

Substituting the given values:

t = sqrt((2 * 10) / 9.8) ≈ 1.43 seconds

Now that we have the time, we can calculate the speed using the equation:

v = g * t

Substituting the values:

v = 9.8 * 1.43 ≈ 14.014 m/s

Therefore, you will reach the water with a speed of approximately 14.014 m/s and it will take you approximately 1.43 seconds to fall.

Please note that these calculations assume no air resistance and that the acceleration due to gravity remains constant throughout the fall.