Question

Бросили мяч начальная скорость 72км/ч. Определить высоту до которой он долетит

Answer 1

Могу предположить что в данном случае кинетическая энергия мяча равна его потенциальной энергии. Выводы делайте сами.

Answer 2

Calculation of the Height Reached by a Ball

To determine the height to which a ball will reach, we can use the initial velocity and the laws of projectile motion. In this case, the initial velocity of the ball is given as 72 km/h.

To calculate the height, we need to consider the vertical motion of the ball. The key equation we can use is the vertical displacement formula:

Δy = v₀y * t + (1/2) * g * t²

Where: - Δy is the vertical displacement or height - v₀y is the vertical component of the initial velocity - t is the time of flight - g is the acceleration due to gravity

To find the vertical component of the initial velocity, we need to convert the given velocity from km/h to m/s. We know that 1 km/h is equal to 0.2778 m/s.

Converting the initial velocity of 72 km/h to m/s: v₀y = 72 km/h * (1000 m/km) / (3600 s/h) = 20 m/s.

Next, we need to find the time of flight. Since we are only interested in the vertical motion, we can ignore the horizontal component of the velocity. The time of flight can be calculated using the following equation:

t = 2 * v₀y / g

Where: - t is the time of flight - v₀y is the vertical component of the initial velocity - g is the acceleration due to gravity

The acceleration due to gravity is approximately 9.8 m/s².

Calculating the time of flight: t = 2 * 20 m/s / 9.8 m/s² = 4.08 s.

Now that we have the time of flight, we can substitute the values into the vertical displacement formula to find the height reached by the ball:

Δy = (20 m/s) * (4.08 s) + (1/2) * (9.8 m/s²) * (4.08 s)²

Simplifying the equation: Δy = 81.6 m + 81.6 m = 163.2 m.

Therefore, the ball will reach a height of approximately 163.2 meters before it starts to fall back down.

Please note that this calculation assumes ideal conditions and neglects factors such as air resistance.