Projectile motion of a baseball problem

AI Thread Summary
The discussion revolves around a projectile motion problem involving a baseball thrown at a 25-degree angle with an initial speed of 23.0 m/s, caught 42 m away. The initial calculations for time in the air and maximum height were incorrect, leading to confusion about the negative height result. Participants suggest revisiting the equations for vertical motion, emphasizing that the ball's highest point occurs when its vertical speed is zero. Clarification is provided that the negative height indicates an error in calculations. The conversation concludes with encouragement to correct the approach for accurate results.
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Homework Statement


a baseball is thrown at an angle of 25 degrees relative to the ground at a speed of 23.0m/s. If the ball was caught 42 m from the thrower, how long was it in the air? how high did the ball travel before being caught?

Homework Equations




The Attempt at a Solution



using x=(VicoxA)t --> 42/(23*cos25) i got 4.32
and than using y=(23*sin25)4.32+1/2(-9.81)(4.32)^2 i got -49.5 >>y=(VisinA)t+1/2a(t)^2)
but in the back of the book it says its wrong so can someone please tell me what i did wrong?
 
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using x=(VicoxA)t --> 42/(23*cos25) i got 4.32
and than using y=(23*sin25)4.32+1/2(-9.81)(4.32)^2 i got -49.5 >>y=(VisinA)t+1/2a(t)^2)
but in the back of the book it says its wrong so can someone please tell me what i did wrong?[/QUOTE

The formula for projectile motion is the Y direction is going to be delta y=Vt -1/2gt^2 assuming gravity is -9.8. As a result of this double negative you end up adding the latter half of the equation where it appears you have subracted by adding a negative. Give that a try and see if it gives you a better answer
 
well...look at your second step: you are not calculating the hightest point...(and I'm not sure but -49.5 is not right: you are saiyng that y=-49.5?? the ball must be underground...xD)

hint: In the hightest point, the ball as no speed in y axis...^_^
 
ooo thanks a lot!
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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