Concept explainers
As discussed in Example 4-14, the archerfish hunts by dislodging an unsuspecting insect from its resting place with a stream of water expelled from the fish’s mouth. Suppose the archerfish squirts water with a speed of 2.15 m/s at an angle of 52.0° above the horizontal, and aims for a beetle on a leaf 3.00 cm above the water’s surface. (a) At what horizontal distance from the beetle should the archerfish fire if it is to hit its target in the least time? (b) How much time will the beetle have to react?
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
EBK PHYSICS
Additional Science Textbook Solutions
Campbell Biology: Concepts & Connections (9th Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Campbell Biology (11th Edition)
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Genetic Analysis: An Integrated Approach (3rd Edition)
Human Biology: Concepts and Current Issues (8th Edition)
- If a projectile is fired from the origin of the coordinate system with an initial velocity υ0 and in a direction making an angle α with the horizontal, calculate the time required for the projectile to cross a line passing through the origin and making an angle β < α with the horizontal.arrow_forwardA catfish is spotted at the bottom of a creek. The depth of the water is 2 m. A hunter (with no knowledge ofoptics) fires a rifle shot, directly aimed at the catfish. The bullet strikes the water at an angle of 40° to the water. Assumethat the bullet is not deflected by the air/water interface, what is the distance from the bullet hole at the bottom of the creekto the catfish?A) 0.88 mB) 0.97 mC) 0.49 mD) 0.56 mE) 0.73 marrow_forwarda fireman d=31.0 m away from a burning building directs a stream of water from a ground-level hose at an angle of 0i=26.0 degrees above the horizontal. if the speed of the stream as it leaves the hose is vi=40.0 m/s, at what height will the stream of water strike the building?arrow_forward
- Water leaves a fireman’s hose (held near the ground) with an initial velocity v0 = 10.5 m/s at an angle θ = 31.5° above horizontal. Assume the water acts as a projectile that moves without air resistance. Use a Cartesian coordinate system with the origin at the hose nozzle position. - At what horizontal distance d from the building base, where should the fireman place the hose for the water to reach its maximum height as it strikes the building? Express this distance, d, in terms of vo, sin 0 and g.arrow_forwardOne strategy in a snowball fight is to throw a snowball at a high angle over level ground. Then while your opponent is watching that snowball, you throw a second one at a low angle timed to arrive before or at the same time as the first one. Assume that both snowballs are thrown with a speed of 30.0 m/s. The first is thrown at an angle of 65.0° with respect to the horizontal. (a) At what angle should the second snowball be thrown to arrive at the same point as the first? _____° (b) How many seconds later should the second snowball be thrown after the first in order for both to arrive at the same time?arrow_forwardFirefighters use a high-pressure hose to shoot a stream of water at a burning building. The water has a speed of 25.0 m/s as it leaves the end of the hose and then exhibits projectile motion. The firefighters adjust the angle of elevation a of the hose until the water takes 3.00 s to reach a building 45.0 m away. Ignore air resistance; assume that the end of the hose is at ground level. (a) Find a. (b) Find the speed and acceleration of the water at the highest point in its trajectory. (c) How high above the ground does the water strike the building, and how fast is it moving just before it hits the building?arrow_forward
- A projectile is fired at ?0=433.0 m/s at an angle of ?=69.0 with respect to the horizontal. Assuming no air resistance, what is the range R of the projectile?arrow_forwardOne object is fired at an angle of ten degrees above the horizontal. A second object is fired at an angle of ten degrees below the horizontal, and a third is fired in an exactly horizontal direction. All three are fired at the same time, but with different (and nonzero) speeds. Neglect air resistance and assume that the objects are fired over a perfectly level plain. Which of the objects strikes the ground first? A. (a) The one fired at an angle of ten degrees above the horizontal. B. (b) The one fired at an angle of ten degrees below the horizontal. C. (c) The one fired exactly horizontally. D. (d) They will all strike the ground at the same time. E. (e) You cannot tell from the information given. F. (f) None of the answers above is correct.arrow_forwardA shell is fired from a cliff that is 36 m above a horizontal plane. The muzzle speed of the shell is 80.0 m/s and it is fired at an elevation of 25° above the horizontal. (a) Determine the horizontal range of the shell. (b) Calculate the impact velocity of the shell.arrow_forward
- Water leaves a fireman’s hose (held near the ground) with an initial velocity v0 = 10.5 m/s at an angle θ = 31.5° above horizontal. Assume the water acts as a projectile that moves without air resistance. Use a Cartesian coordinate system with the origin at the hose nozzle position. Part (a) Using v0, θ, and g, write an expression for the time, tmax, the water travels to reach its maximum vertical height. Part (b) At what horizontal distance d from the building base, where should the fireman place the hose for the water to reach its maximum height as it strikes the building?arrow_forwardA bullet is fired at an angle 60 degrees with an initial velocity of 200 m/s. Find the initial horizontal velocity of the bullet.arrow_forwardA cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning