Question

Тело падает с высоты 80 м .найти путь проводимый за 1ую секунду. и скорость удара об землю.

Answer 1

1) найдем путь за первую секунду

S1=g*t1²/2=9,8*1/2=4,9 м/с=5 м/с

2) найдем конечную скорость

V²=2*g*h
V=√2*g*h=√20*80=√1600=40 м

Answer 2

Calculating the Distance Fallen and Impact Velocity

To calculate the distance fallen and the impact velocity, we can use the following formulas:

Distance fallen (s) in the first second: The distance fallen in the first second can be calculated using the formula: \[ s = \frac{1}{2} \cdot g \cdot t^2 \] Where: - \( g \) = acceleration due to gravity (approximately 9.81 m/s^2) - \( t \) = time (1 second in this case)

Impact velocity: The impact velocity can be calculated using the formula: \[ v = g \cdot t \] Where: - \( v \) = velocity - \( g \) = acceleration due to gravity (approximately 9.81 m/s^2) - \( t \) = time (1 second in this case)

Calculations

Using the given height of 80 meters and the formulas above, we can calculate the distance fallen and the impact velocity.

Distance fallen in the first second: \[ s = \frac{1}{2} \cdot 9.81 \cdot (1)^2 \] \[ s = \frac{1}{2} \cdot 9.81 \] \[ s = 4.905 \, meters \]

Impact velocity: \[ v = 9.81 \cdot 1 \] \[ v = 9.81 \, m/s \]

Therefore, the distance fallen in the first second is approximately 4.905 meters, and the impact velocity is approximately 9.81 m/s.

These calculations are based on the standard acceleration due to gravity and the assumption of no air resistance.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.