What Is the Maximum Height of a Ball Thrown at 20m/s and 30 Degrees for 3.0s?

AI Thread Summary
To determine the maximum height of a ball thrown at 20 m/s and 30 degrees for 3.0 seconds, it is essential to resolve the initial velocity into its vertical and horizontal components. The vertical component can be calculated using the sine function, while the horizontal component uses the cosine function. The relevant equations include the kinematic equations for projectile motion, particularly those that relate to vertical displacement and time. A diagram illustrating the velocity vector components can aid in visualizing the problem. Understanding these concepts will help in calculating the maximum height effectively.
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1. A ball is thrown with a velocity of 20m/s at an angle of 30 degrees and travels 3.0s before hitting the ground. What is the maximum height of the ball?



2. I really am new to physics and have am not sure about the relevant equation. I do want to learn and don't want my work done for me so please point me in the right direction and explain a relevant equation.
 
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Draw a diagram and resolve the velocity vector into components, to start.
 

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