What was the initial speed of the archer's arrow?

AI Thread Summary
The discussion focuses on calculating the initial speed of an arrow shot horizontally at a target 16 meters away, which hits 57 centimeters lower than aimed. It emphasizes that while the horizontal velocity remains constant, the vertical velocity increases due to gravity. To find the initial speed, one must first determine the time it takes for the arrow to fall 57 centimeters, which is the same time it takes to reach the target. With the known distance to the target and the calculated time, the initial velocity can be derived. This problem illustrates the principles of projectile motion and the effects of gravity on the arrow's trajectory.
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Homework Statement


An archer shoots an arrow horizontally at a target 16 meters away. The arrow is aimed directly at the center of the target, but it hits 57 centimeters lower.

What was the intitial speed of the arrow?


Homework Equations





The Attempt at a Solution

 
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Why the arrow hit the lower point?
Here horizontal velocity of the arrow remains constant. But the vertical velocity increases starting with zero.
Can you find the time t taken by arrow to fall 57 cm lower?
This is the time taken by the arrow to hit the target. Distance of the target is known. Time is known. Find the initial velocity.
 

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