Question

Какую скорость развивает моторная лодка пройдя из состояния покоя 800 м с ускорением 4м/с?

Answer 1

S=(V²-V0²)/2a
2as=V²-V0²
V=√(2as+V0²)
V0=0 =>
V=√2as
V=√2*4м/с²*800м
V=80м/с

Answer 2

Motorboat Speed Calculation

To calculate the speed of a motorboat that has traveled a distance of 800 m from rest with an acceleration of 4 m/s², we can use the following kinematic equation:

Final velocity (v) = Initial velocity (u) + (Acceleration (a) * Time (t))

First, we need to find the final velocity (v) using the given values: - Initial velocity (u) = 0 m/s (as the boat starts from rest) - Distance (s) = 800 m - Acceleration (a) = 4 m/s²

We can use the following equation to find the time (t) it takes for the boat to reach this distance: Distance (s) = Initial velocity (u) * Time (t) + (0.5 * Acceleration (a) * Time (t)²)

Let's calculate the final velocity (v) and the time (t) using the given values.

Calculation

Using the equation Distance (s) = Initial velocity (u) * Time (t) + (0.5 * Acceleration (a) * Time (t)²), we can solve for time (t): 800 = 0 * t + (0.5 * 4 * t²)

This simplifies to: 800 = 2t²

Solving for t: t² = 400 t ≈ 20 seconds

Now that we have the time (t), we can calculate the final velocity (v) using the equation Final velocity (v) = Initial velocity (u) + (Acceleration (a) * Time (t)): v = 0 + (4 * 20) v = 80 m/s

Answer

The motorboat reaches a speed of 80 m/s after traveling a distance of 800 m from rest with an acceleration of 4 m/s².

This calculation is based on the kinematic equations of motion and the given values.