Determine the horizontal distance that the ball traveled

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SUMMARY

The discussion focuses on calculating the horizontal distance a baseball travels when hit at an initial speed of 125 feet per second and an angle of 40 degrees from a height of 3 feet. The relevant equations provided are X = 125cos(40°)t for horizontal distance and Y = -16t² + 125sin(40°)t + 3 for vertical motion. To determine the horizontal distance, one must first calculate the time of flight using the vertical motion equation. This problem is categorized under precalculus concepts.

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This discussion is beneficial for students in precalculus, particularly those preparing for quizzes or exams involving projectile motion, as well as educators seeking to reinforce concepts in physics and mathematics.

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New member warned about not using the homework template
My teacher never taught us any of this. She just gave us a worksheet, and told us to solve it. I need to know how to solve this for a quiz tomorrow. Problem: Matt hits a baseball with an initial speed of 125 feet per second at an angle of 40 degrees to the horizontal. The ball was hit at a height of 3 feet off the ground. Determine the horizontal distance that the ball traveled.

So I came up with the equations, but I don't know if they're right.
X=125cos40t
Y=-16t^2 +125sin40t+3
 
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Jaejoong said:
My teacher never taught us any of this. She just gave us a worksheet, and told us to solve it. I need to know how to solve this for a quiz tomorrow. Problem: Matt hits a baseball with an initial speed of 125 feet per second at an angle of 40 degrees to the horizontal. The ball was hit at a height of 3 feet off the ground. Determine the horizontal distance that the ball traveled.

So I came up with the equations, but I don't know if they're right.
X=125cos40t
Y=-16t^2 +125sin40t+3
Hello Jaejoong. Welcome to PF .

In the future please use the template that appears when you open a Thread.

Those equations should be useful in helping you solve this problem.

You can use the equation for Y to find the amount of time that the baseball is in flight.

From that, X gives the horizontal distance.

Be careful to use the correct order of operations.

Y = -16t2 +125(sin40°)t + 3

X = 125(cos40°)tIs this for an Algebra class or for a Physics class?
 
This is for a precalc class
 

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