Projectile Motion: Clearing a Fence?

AI Thread Summary
A ball is batted at 30 m/s and 30 degrees from a height of 1.0 m, and the problem involves determining if it clears a 2.5 m fence located 30 m away. The ballistic path equation is applied, with delta y set to 1.5 m to account for the height difference. An initial calculation suggests the ball clears the fence by 12.5 m, but doubts about the accuracy of this result arise. Further clarification on the calculations and methodology is requested to assist in resolving the issue. The discussion emphasizes the importance of correctly applying the projectile motion equations to solve the problem.
Arooj
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Homework Statement


A ball is batted with a velocity of 30 m/s at an angle of 30 degrees above the horizontal from a height of 1.0 m above the ground. Will the ball clear a 2.5 m high fence which is 30 m away? By how much will it miss or clear?

Homework Equations


ballistic path equation? delta y = (-gx^2/(2v)^2*(cos @)^2) + xtan@
@ = angle

The Attempt at a Solution


I used the ballistic path equation, and set the delta y = 1.5. On the other side i plugged in the 30 for x, 30 degrees for @, and vi as 30m/s.

I got clear by 12.5m, but I don't think that is right.
How to do you do this problem?
 
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