Calculating Distance to Home Plate in Projectile Motion

AI Thread Summary
To calculate the distance to home plate from the fence, first determine the time it takes for the baseball to reach the fence after being hit at 45 m/s and an angle of 36.90°. The projectile motion equations need to account for the ball's height above ground level, as it starts at 1.000 m and clears the fence at 11.00 m. The formula provided, R = (2v²sinθcosθ)/g, is not suitable due to the varying heights involved. A more accurate approach involves calculating the vertical and horizontal components of the motion separately. Ultimately, the distance to home plate can be found by analyzing the trajectory and time of flight.
steven1495
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Homework Statement


A baseball leaves a bat at 45m/s at an angle of 36.90° above horizontal. At the point of impact with the ball, the ball is 1.000m above ground level, and as it clears the fence it is back down to 11.00m above ground level. How far is home plate from the fence at this point?
θ=36.90°
v=45m/s
g= -9.800m/s2


Homework Equations


R= (2v2sinθcosθ)/g
 
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You have to make an attempt at the problem before we can assist you.

Hint: Determine how long, timewise, it takes for the ball to reach the fence.

Also, your formula is not applicable for this problem because the fence is not 1 meter tall.
 
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