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The image contains a physics problem related to the motion of a body with a mass of 2 kg. The given equation is:

\[
x = 7 + 4t + t^2
\]

The questions appear to involve calculating the following:

1. **Total path covered (Сумма траекторий):** The distance traveled by the body.
2. **Initial velocity (Начальная скорость тела):** The initial speed of the body.
3. **Acceleration (Ускорение):** The constant acceleration of the body.
4. **Kinetic Energy (Кинетическая энергия):** The kinetic energy of the body.
5. **Applied Force (Приложенная сила):** The force applied to the body.

Let's calculate each of these:

1. **Initial velocity (v₀):**  
   The general equation of motion for position \(x(t)\) is given by:
   \[
   x(t) = x_0 + v_0 t + \frac{1}{2} a t^2
   \]
   Comparing with the given equation \(x = 7 + 4t + t^2\), we find:
   - \(x_0 = 7\) (initial position)
   - \(v_0 = 4\) m/s (initial velocity)
   - \(a = 2\) m/s² (acceleration)

2. **Total path covered (distance):**  
   Since the problem is related to the body's motion with constant acceleration, we should know the time duration to compute the path length.

The image contains a physics problem related to the motion of a body with a mass of 2 kg. The given equation is: x = 7 + 4t + t^2. The problem involves calculating the total path covered, initial velocity, acceleration, kinetic energy, and applied force.

Solve a physics problem involving the motion of a body with mass 2 kg, described by the equation x = 7 + 4t + t^2. Learn how to calculate the total path covered, initial velocity, acceleration, kinetic energy, and applied force, applying key concepts in kinematics and Newton's Laws of Motion. Suitable for students in Grades 10-12.

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