Help with Kinematics Problem: Find Initial Velocity

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To solve the kinematics problem of a golf ball launched at 20 degrees and landing 310 feet away, one must first determine the time of flight. This can be achieved by breaking the motion into horizontal and vertical components, allowing for the calculation of time based on the distance traveled. Once the time is established, the initial velocity can be derived using kinematic equations. The discussion emphasizes solving the problem in terms of variables, which simplifies the process of finding the necessary components. Ultimately, understanding the separation of 1D motion is crucial for accurately determining both the initial velocity and time of flight.
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I'd be very much obliged if someone could help me with this problem. Thanks in advance.


A golfer strikes a golf ball on a flat golf course. The golf ball was "launched" by the golf club at 20 degrees relative to the surface of the flat golf course. The golf ball landed 310 ft away. What was the initial velocity at which the golf ball was launched?
 
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HINT: How much time did the ball spend in the air and how far along the course could it travel in that time.
 
I forgot the other part of the question. It also asked for you to determine the time of flight. The problem did not give any specific time or anything...Is it possible that this question wants you to solve in terms of variables?
 
You can find the time from the information you provided. In 2D kinematic problems, it is usually easiest to break the problem up into separate 1D problems. Once the time is found, other variables can be found relatively easily, and in the end if you want to find the resulting vector you can just add the 2 component vectors you found.
 
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