Concept explainers
You are watching a friend practice archery when he misses the target completely, and the arrow sticks into the ground. Discouraged, your friend asks whether you can help by estimating the speed with which the arrow left the bow. Remembering your physics class, you realize that you can do so by measuring its height above the ground when it was launched, if you assume the arrow was launched horizontally and that the ground is level. For your analysis, you let h represent the arrow’s height above the ground when it was launched, v0 represent the launch speed, and θ represent the angle the arrow makes with the horizontal when it is stuck into the ground. Find an expression for v0 in terms of h and θ.
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Physics for Scientists and Engineers: Foundations and Connections