How Far and How Long for a Block on a 22 Degree Incline?

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To solve the problem of a block moving up a 22-degree incline with an initial speed of 3.0 m/s and an acceleration of -3.67 m/s², kinematic equations can be applied. For part (A), the distance the block travels up the incline can be calculated using the equation d = (v² - u²) / (2a), where v is the final velocity (0 m/s at the peak), u is the initial velocity, and a is the acceleration. For part (B), the time taken to return to the starting point can be found using the equation t = (v - u) / a. With these equations, the distance and time can be determined effectively. Understanding the basic principles of kinematics is essential for solving this type of problem.
katana
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I need help with this problem:
A block is given an initial speed of 3.0 m/s up a 22.0 degrees plane. (A) How far up the plane wll it go? (B) How much time elapses before it returns to its starting point?

I know the acceleration is -3.67 m/s^2, but I have no idea how to continue on. I don't know what equation to use to figure out (A). Please help!
 
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You just have to realize you have a regular kinematics question in 1D now. You know the initial speed and you know the acceleration. That should be enough to find the distance and time.
 
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