Math Problem Statement

The image contains two distinct physics problems: projectile motion and Newton's law applied to forces on an object.

Solution

The image contains two distinct physics problems:

  1. 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 t=0.5t = 0.5 seconds.
    • Question 7: Calculate the maximum height reached by the ball.
    • Question 8: Calculate the total horizontal distance traveled by the ball (range).
  2. Newton's law problem (Questions 9 and 10):

    • Question 9: A block is subjected to three forces as shown:

      • F1=40NF_1 = 40 \, \text{N} to the left,
      • F2=26NF_2 = 26 \, \text{N} to the right, and
      • F3=14NF_3 = 14 \, \text{N} 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.
    • 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)