Antlion larvae lie in wait for prey at the bottom of aconical pit about 5.0 cm deep and 3.8 cm in radius. When asmall insect ventures into the pit, it slides to the bottom and isseized by the antlion. If the prey attempts to escape, the antlionrapidly launches grains of sand at the prey, either knockingit down or causing a small avalanche that returns the preyto the bottom of the pit. Suppose an antlion launches grainsof sand at an angle of 72° above the horizon. Find the launchspeed v0 required to hit a target at the top of the pit, 5.0 cmabove and 3.8 cm to the right of the antlion.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 56AP: Antlion larvae lie in wait for prey at the bottom of a conical pit about 5.0 cm deep and 3.8 cm in...
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Antlion larvae lie in wait for prey at the bottom of a
conical pit about 5.0 cm deep and 3.8 cm in radius. When a
small insect ventures into the pit, it slides to the bottom and is
seized by the antlion. If the prey attempts to escape, the antlion
rapidly launches grains of sand at the prey, either knocking
it down or causing a small avalanche that returns the prey
to the bottom of the pit. Suppose an antlion launches grains
of sand at an angle of 72° above the horizon. Find the launch
speed v0 required to hit a target at the top of the pit, 5.0 cm
above and 3.8 cm to the right of the antlion.

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