Projectile Motion Problem: Finding Maximum Height and Acceleration Vector

In summary, the conversation discusses finding the maximum height and centripetal acceleration of a projectile, with one person seeking help and receiving suggestions from another person. The given equation for maximum height is mentioned, as well as the use of acceleration vector and the direction of horizontal acceleration. The third line in the problem, mentioning the continuous increase in speed, is also brought up but not utilized in the solution.
  • #1
Vibhor
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Homework Statement



attachment.php?attachmentid=71715&stc=1&d=1406557796.png


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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  • #2
Your attachment isn't viewable.
 
  • #3
Please see if it is viewable now .
 
  • #4
Could somebody help me with the problem .
 
  • #5
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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  • #6
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 ?
 
  • #7
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.
 
  • #8
Thank you very much .
 

FAQ: Projectile Motion Problem: Finding Maximum Height and Acceleration Vector

What is projectile motion?

Projectile motion is the motion of an object through the air or space under the influence of only gravity.

What are the key factors that affect projectile motion?

The key factors that affect projectile motion are the initial velocity, the angle of projection, the acceleration due to gravity, and the air resistance.

How do you calculate the range of a projectile?

The range of a projectile can be calculated using the formula R = (v^2/g) * sin(2θ), where R is the range, v is the initial velocity, g is the acceleration due to gravity, and θ is the angle of projection.

What is the maximum height of a projectile?

The maximum height of a projectile can be calculated using the formula H = (v^2 * sin^2(θ))/2g, where H is the maximum height, v is the initial velocity, g is the acceleration due to gravity, and θ is the angle of projection.

How does air resistance affect the motion of a projectile?

Air resistance can decrease the horizontal velocity and the range of a projectile, but it has little effect on the vertical motion and the maximum height of a projectile.

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