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The small archerfish (length 20 to 25 cm) lives in brackish waters of Southeast Asia from India to the Philippines. This aptly named creature captures its prey by shooting a stream of water drops at an insect, either flying or at rest. The bug falls into the water and the fish gobbles it up. The archerfish has high accuracy at distances of 1.2 m to 1.5 m, and it sometimes makes hits at distances up to 3.5 m. A groove in the roof of its mouth, along with a curled tongue, forms a tube that enables the fish to impart high velocity to the water in its mouth when it suddenly closes its gill flaps. Suppose the archerfish shoots at a target that is 2.00 m away, measured along a line at an angle of 30.0° above the horizontal. With what velocity must the water stream be launched if it is not to drop more than 3.00 cm vertically on its path to the target?
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Chapter 3 Solutions
Principles of Physics: A Calculus-Based Text
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- A monkey escapes from a zoo and climbs a tree to a height h = 4.00 m. Since she is unable to attract him, the caretaker aims her rifle with a sedative dart directly at the monkey and fires the dart with a speed of vd = 20.00 m/s (see figure). The cunning monkey is released the instant the dart leaves the barrel of the rifle, trying to fall to the ground and escape The caretaker is at d = 10.0 m from the base of the tree. Find the height of the monkey when the sedative dart penetrates the monkey's skin.arrow_forwardYour brother slides his glass of milk horizontally at a speed m of 0.8 at a frictionless table which is 1.3 m tall. You tried to catch it but missed such that the glass followed a curved path before it crashed on the floor. How far away from the edge of the table did the glass hit the floor?arrow_forwardThree archers each fire four arrows at a target. Joe’s four arrows hit points that are spread around in a region that goes 10 cm above, 10 cm below, 10 cm to the left, and 10 cm to the right of the center of the target. All four of Moe’s arrows hit within 1 cm of a point 20 cm from the center, and Flo’s four arrows hit within 1 cm of the center. The contest judge says that one of the archers is precise but not accurate, another archer is accurate but not precise, and the third archer is both accurate and precise. Which description applies to which archer? Explain.arrow_forward
- For the first part of the problem I got the velocity to be 3.77m/s which I think is correct. The second part I am a bit confused with. From what I think it would be Ki=Kf+Ugf (1/2)(5)(3.77)=(1/2)(5)(?vf?)+(5)(9.8)(H) I want to find the H but I feel I also need the Vf. Would the Vf be 0 because it is at rest at the highest point? but wouldnt it still have a forward velocity. Does that mean I have to split up everything into X and Y components?arrow_forwardA very bored 318 kg bear decides to jump across a stream. The stream is 6 m wide and the east bank of the stream is 1m higher than the west bank (where the bear starts). The bear can jump with an initial velocity vi(4m/s, 4m/s) , and decides to start from 3 in the air, halfway up a sturdy tree. If the origin is at the bear's foot (up in the tree), write an equation describing the coordinate of the bear while it is in the air. Use the following table as a reference. Note that it may not be necessary to use every variable. For Use t garrow_forwardA student throws a ball straight up into the air, and it travels to a height of 11 m. Ignoring air friction, what is the initial velocity of the ball?arrow_forward
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