Solve Vector Nature of Forces Question | Physics Help

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To solve the problem of determining the angle of the wave's incline given a surfer's acceleration of 3.25 m/s², one must apply the principles of physics related to forces on inclined planes. Since friction is ignored, the acceleration can be directly related to the gravitational force component acting along the incline. Using the formula a = g * sin(θ), where g is the acceleration due to gravity (approximately 9.81 m/s²), the angle θ can be calculated. By rearranging the equation to find θ, it can be determined that θ = arcsin(a/g). This approach provides a clear method for beginners to understand the vector nature of forces in this context.
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I am having problem with a question.m I am a beginner with physics and if someone could help me out with showing me the steps in solving the following question. The question falls under the topic the vector nature of forces. The question is as follows:

A surfer "hangs ten" and accerlates down the sloping face of a wave if the surfs accerlation is 3.25 m/s^2 AND FRICTIOn CAN BE IGNORED what is the angle at which the face of the wave is inclined above the horzontal.

if someone could please help it would be great! it is probably a simple question but I can't figure it out.:bugeye:
 
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gejapathy said:
..the surfs accerlation..
You mean surfer's? You haven't been learning about inclined planes?
 
Yes I mean surfer's accerlation...I didn't see the typo sorry
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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