Question

За какое время мяч, свободно падающий с высоты 30 метров, пройдет путь 20 метров? Какова скорость мяча в этот момент времени?

Answer 1

H = gt^2/2
t = √2H/g =√2*20/10=√4 = 2c
v =v0 +gt =0 +10*2 =20 м/с

Answer 2

Calculation of Time and Velocity of a Ball Falling from a Height

To calculate the time it takes for a ball to fall freely from a height of 30 meters and travel a distance of 20 meters, we can use the equations of motion for free fall.

The equation for the distance traveled by an object in free fall is given by:

d = (1/2) * g * t^2 where: - d is the distance traveled (20 meters in this case) - g is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth) - t is the time taken

Rearranging the equation, we get:

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

Substituting the given values, we have:

t = sqrt((2 * 20) / 9.8) ≈ 2.02 seconds

Therefore, it takes approximately 2.02 seconds for the ball to fall from a height of 30 meters and travel a distance of 20 meters.

To calculate the velocity of the ball at this moment, we can use the equation:

v = g * t Substituting the values, we have:

v = 9.8 * 2.02 ≈ 19.80 m/s

Therefore, the velocity of the ball at the moment it has traveled a distance of 20 meters is approximately 19.80 m/s.

Please note that these calculations assume idealized conditions and neglect factors such as air resistance.