Tricky Dynamics Kinematics Trajectory Problem

In summary, the conversation discusses a football player attempting a 29-yd field goal with a minimum angle θ needed for the ball to clear the 10-ft crossbar. The formula for the height of the ball versus time must have real roots and the range is not 29 yd, leading to the question of which equations to combine to solve the problem.
  • #1

Homework Statement



A football player attempts a 29-yd field goal. If he is able to impart a velocity u of 95 ft/sec to the ball, compute the minimum angle θ for which the ball will clear the crossbar of the goal. The crossbar is 10 ft above the ground. (Hint: Let m = tan θ.)


Homework Equations

I can't find and equation for minimum angle anywhere, which makes me think I have to combine two equations to be able to solve this. I've messed with equations on here, http://hyperphysics.phy-astr.gsu.edu/hbase/traj.html#tracon for hours and I can't figure out what equations I need to combine to get a minimum angle.



The Attempt at a Solution



I know my range is 87 feet, and the height that i want to clear is 10 feet at the end of my range, kicking the field goal at the smallest initial angle possible. Velocity is 95 ft/s

Any help on this is appreciated, it may simply be one of those problems where the solution seems too easy so it is overlooked?
 
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  • #2
well draw figure and you'll understand that range is not 29 yd
question says that when x= 29 yd ... y should be 10 ft
 
  • #3
I've had a look at this question, it was by no means easy. Here's a hint: the formula for the height of the ball versus time must have real roots.
 

1. What is Tricky Dynamics Kinematics Trajectory Problem?

Tricky Dynamics Kinematics Trajectory Problem is a type of physics problem that involves analyzing the motion of an object in terms of its position, velocity, and acceleration. It requires a deep understanding of kinematics and dynamics principles to solve.

2. How do I approach solving a Tricky Dynamics Kinematics Trajectory Problem?

The first step is to carefully read and understand the problem, identifying the known and unknown variables. Then, use the appropriate kinematics and dynamics equations to set up and solve the problem. It may also be helpful to draw a diagram to visualize the situation.

3. What are some common mistakes when solving Tricky Dynamics Kinematics Trajectory Problems?

Some common mistakes include using incorrect equations, not considering all forces acting on the object, and not properly converting units. It is important to double check all calculations and make sure they make sense in the context of the problem.

4. How can I improve my skills in solving Tricky Dynamics Kinematics Trajectory Problems?

Practice is key. Start with simpler problems and gradually work your way up to more complex ones. Make sure to also review and understand the fundamental principles of kinematics and dynamics. Additionally, seeking help from a teacher or tutor can be beneficial.

5. What are some real-world applications of Tricky Dynamics Kinematics Trajectory Problems?

Tricky Dynamics Kinematics Trajectory Problems are essential in understanding the motion of objects such as projectiles, satellites, and vehicles. They are also used in fields such as engineering, space exploration, and sports to predict and analyze motion and make accurate calculations.

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