Math Problem Statement
Solution
The image contains two distinct physics problems:
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Projectile motion problem (Questions 4 to 8): A ball is kicked and follows a parabolic path, as shown in the diagram. The vertical axis is labeled in meters, and the horizontal axis represents time. The following questions are asked:
- Question 4: Calculate the initial velocity of the ball in the x and y directions.
- Question 5: Calculate the velocity of the ball at point A.
- Question 6: Determine the speed of the ball at seconds.
- Question 7: Calculate the maximum height reached by the ball.
- Question 8: Calculate the total horizontal distance traveled by the ball (range).
-
Newton's law problem (Questions 9 and 10):
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Question 9: A block is subjected to three forces as shown:
- to the left,
- to the right, and
- also to the right. You are asked to determine whether the block is moving or stationary, and explain the reasoning based on Newton's laws.
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Question 10: Another object with a mass of 10 kg is acted upon by two forces: a horizontal force of 5 N and a vertical force of 10 N. The question asks for the acceleration of the object.
-
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Math Problem Analysis
Mathematical Concepts
Projectile motion
Kinematics
Newton's Second Law
Forces and acceleration
Formulas
v = u + at (first equation of motion)
s = ut + 1/2at^2 (second equation of motion)
F = ma (Newton's second law)
Components of velocity (vx = v * cos(θ), vy = v * sin(θ))
Theorems
Newton's Second Law of Motion
Equations of motion for uniformly accelerated bodies
Suitable Grade Level
Grades 10-12 (Senior High School)
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