Determine the horizontal distance that the ball traveled

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To determine 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 are X=125cos(40°)t and Y=-16t² + 125sin(40°)t + 3. The time of flight can be calculated using the Y equation, which accounts for the initial height and gravitational effects. Once the time is determined, it can be substituted into the X equation to find the horizontal distance. This problem is relevant for a precalculus class, emphasizing the importance of correct order of operations in calculations.
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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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