Question - Physics Kinematics Problem Solving

Solution:

The question you're asking to solve cannot be fully seen in the provided image. It seems to be a multi-part question, but the text is cut off, especially the part with the actual question you want solved. The visible parts refer to three different problems related to physics, particularly motion under gravity:4. A problem about a ball dropped and attaining a certain velocity in a given time interval (acceleration due to gravity is asked for).5. A problem involving a ball thrown and its time of flight, aiming to find the height of a flagpole.6. A problem about a stone released from a balloon that is ascending and calculations related to the time it takes for the stone to hit the ground.Since problem #4's full question is visible, I'll provide a solution for that:The question states: "If a ball is dropped and attains a velocity of 29.31 m/s in 3.00 s, what is the acceleration due to gravity?"To find the acceleration, we can use the following equation from kinematics that relates initial velocity (v_i), acceleration (a), and time (t):v = v_i + a*tSince the ball is dropped, the initial velocity v_i = 0, and the equation simplifies to:v = a*tPlugging in the values provided:29.31 m/s = a * 3.00 sNow solve for the acceleration a:a = 29.31 m/s / 3.00 sa ≈ 9.77 m/s²This is the acceleration due to gravity, which is approximately the standard gravity acceleration on Earth's surface (9.81 m/s²). The slight difference can be attributed to rounding or measurement error.

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