Math Problem Statement
Solution
The image contains a physics problem related to the motion of a body with a mass of 2 kg. The given equation is:
The questions appear to involve calculating the following:
- Total path covered (Сумма траекторий): The distance traveled by the body.
- Initial velocity (Начальная скорость тела): The initial speed of the body.
- Acceleration (Ускорение): The constant acceleration of the body.
- Kinetic Energy (Кинетическая энергия): The kinetic energy of the body.
- Applied Force (Приложенная сила): The force applied to the body.
Let's calculate each of these:
-
Initial velocity (v₀):
The general equation of motion for position is given by: Comparing with the given equation , we find:- (initial position)
- m/s (initial velocity)
- m/s² (acceleration)
-
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.
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Math Problem Analysis
Mathematical Concepts
Kinematics
Quadratic Equations
Formulas
Equation of motion: x(t) = x_0 + v_0 t + (1/2) a t^2
Kinetic energy: K.E. = (1/2) mv^2
Newton's second law: F = ma
Theorems
Newton's Laws of Motion
Suitable Grade Level
Grades 10-12
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