Concept explainers
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?
Trending nowThis is a popular solution!
Chapter 3 Solutions
Principles of Physics: A Calculus-Based Text
- In tennis, one of the primary ways to win a point is by making the ball bounce twice on your opponent's side of the court. A tennis player hits a ball at a velocity of 50 m/s at a 0 degree angle from 1m high. When the ball bounces it reflects its velocity angle perfectly and loses 30% of its speed. How long does the other player have to return the ball before the second bounce?arrow_forwardFor a forensics experiment, a student decides to measure the muzzle velocity of the pellets from his BB gun. She points the gun horizontally. On a vertical wall a distance 47.3 m away from the gun, a target is placed. The shots hit the target a vertical distance 0.10 m below the gun's barrel. What is the initial speed of the pellets? Your Answer: units Answerarrow_forwardA 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_forward
- You can perform a popular trick by dropping any peso bill (Ex. 500 peso bill )lengthwise through the thumb and forefinger of a classmate. Tell your classmate to grab the peso bill as fast as possible and he/she can keep the money if he/she catches it. The length of the peso bill is 15.7 cm and the average human reaction time is about 0.20 s. Will your classmate catch the bill and keep the money?arrow_forwardFor 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 rocket takes off from a launchpad on the moon at y = 0 m. The velocity of the rocket is given by the equation: v(t)=1.20(22)+0.450(22)^2 Where all the quantities are in base S.I. units. On the moon, air resistance is negligible and the acceleration due to the moon's gravity is 9moon = 1.63 m/s^2. The rocket boosters are unable to reignite. Determine the total flight time of the rocket from the initial launch until it hits the ground. a) 329 seconds b) 307 seconds c) 14.5 second d) 44.0 secondsarrow_forward
- A 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_forwardWhat is the range in meters of a projectile launched at an angle of θ1 = 78.3° with an initial speed of 58 m/s?arrow_forwardFrogs, with their long, strong legs, are excellent jumpers. And thanks to the good folks of Calaveras County, California, who have a jumping frog contest every year in honor of a Mark Twain story, we have very good data as to just how far a determined frog can jump. The current record holder is Rosie the Ribeter, a bullfrog that made a leap of 2.2 m from a standing start. This compares favorably with the world record for a human, which is a mere 3.7 m. Typical data for a serious leap by a bullfrog look like this: The frog goes into a crouch, then rapidly extends its legs by 15 cm as it pushes off, leaving the ground at an angle of 30° to the horizontal. It’s in the air for 0.49 s before landing at the same height from which it took off. Given this leap, what is the acceleration while the frog is pushing off? How far does the frog jump?arrow_forward
- Our pinoy pride, Kai Sotto, is now training for his upcoming 3x3 basketball tournament next year. Under International Basketball Federation (FIBA) rules, the three-point line is 6.75 meters from the center of the basket. If he will train for three-point shooting, what should be the ball's angle when he shoots the ball if he will try to shoot from a height as high as the basket with an initial velocity of 8.2 m/s? Is it 40°; 50°; 60°? How long would it take for the ball to reach the ring for each of the angles? What is the ball's maximum height for each of the angles? And how fast is the ball's horizontal and vertical initial velocities for each or the angles?arrow_forwardThis problem requires a second answer, as demonstrated by this error when I attempt to submit my answer: "Your submission doesn't have the correct number of answers. Answers should be separated with a comma." Please help me find this elusive second answer.arrow_forwardNeed answerASAP.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning