Projectile Motion Problem: Finding Maximum Height and Acceleration Vector

AI Thread Summary
The maximum height of the projectile is calculated to be 15 meters using the formula H = u²sin²θ/2g. The acceleration vector is expressed as a = axi + ayj, with a magnitude of 50 at the maximum height. The discussion highlights the need to incorporate the condition of continuously increasing speed to determine the direction of the horizontal acceleration component, indicating that ax is positive. The participants confirm that understanding this aspect is crucial for solving the problem effectively. Overall, the conversation focuses on clarifying the relationship between projectile motion parameters and their implications for acceleration.
Vibhor
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Homework Statement



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Homework Equations





The Attempt at a Solution



Maximum height attained by first projectile H = u2sin2θ/2g = 15m

If acceleration vector is assumed a = axi+ayj , then at H √(ax2+ay2) = 50 .

Now I need to use the given conditions to come up with another equation . Not sure how to proceed .

Please help me with the problem .
 

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Please see if it is viewable now .
 
Could somebody help me with the problem .
 
Figure out the centripetal acceleration at that point. Hint: Use the fact that the first projectile is at its apex at the point H.
 
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Hi Doc

Your suggestion has worked nicely .Thanks a lot :smile:.

I was just wondering what do we infer from the third line in the problem " such that the speed is increasing continuously ". We didn't make any use of it .

Your thoughts ?
 
Vibhor said:
I was just wondering what do we infer from the third line in the problem " such that the speed is increasing continuously ". We didn't make any use of it .
You make use of that fact in determining the direction of the horizontal acceleration component. It tells you that ax is positive.
 
Thank you very much .
 
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