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?
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Chapter 3 Solutions
Principles of Physics: A Calculus-Based Text
- A projectile is fired vertically upward with a given initial velocity. It reaches a maximum height of 100 m. If the same projectile is fired again with double the initial velocity. The projectile will reach a maximum height of a) 70.7 m b) 141.4 m c) 200 m d) 241 m e) 400 marrow_forwardWhich expression correctly gives the total time the projectile spends in the air? t = _______ a) vi/g b) 2vi/g c) vi sin(θ)/g d) 2 vi sin(θ)/garrow_forward16. A baseball is hit straight up and is caught by the catcher 2.0 s later. The maximum height of the ball during this interval is: a. 4.9 m b. 12.6 m c. 7.4 m d. 9.8 m Explanation and solutionarrow_forward
- A student at the top of a building of height h throws one ball upward with a speed of vi and then throws a second ball downward with the same initial speed vi. Just before it reaches the ground, is the final speed of the ball thrown upward (a) larger, (b) smaller, or (c) the same in magnitude, compared with the final speed of the ball thrown downward?arrow_forwardA projectile is launched on the Earth with a certain initial velocity and moves without air resistance. Another projectile is launched with the same initial velocity on the Moon, where the acceleration due to gravity is one-sixth as large. How does the range of the projectile on the Moon compare with that of the projectile on the Earth? (a) It is one-sixth as large, (b) It is the same, (c) It is V5 limes larger, (d) It is 6 times larger, (e) It is 6limes larger.arrow_forwardA projectile is launched on the Earth with a certain initial velocity and moves without air resistance. Another projectile is launched with the same initial velocity on the Moon, where the acceleration due to gravity is one-sixth as large. How does the range of the projectile on the Moon compare with that of the projectile on the Earth? (a) It is one-sixth as large. (b) It is the same. (c) It is 6 times larger. (d) It is 6 times larger. (e) It is 36 times larger.arrow_forward
- The position of a particle is: r(t) = [(4.62 m/s^2) t^2] i + (-3.38m) j + [(4.04 m/s^3) t^3] k What is the magnitude in m/s of the average velocity between t = 0 and t = 1.79s and what angle in degrees does the average velocity make between t = 0s and t = 1.79sarrow_forwardIn the two-dimensional motion, what is the magnitude of the y component of the velocity of the projectile when it is at its apex of trajectory? Select one: a. Velocity is equal to the initial velocity b. Velocity is 9.81 m/s c. Velocity is equal to the x component d. Undetermined e. Velocity is 0 m/sarrow_forwardThe coordinate of a particle in meters is given by x(t) = 16t − 3.0t³, where the time t is in seconds. The particle is momentarily at rest at t = ____. a. 0.75 sb. 1.3 sc. 5.3 sd. 7.3 sarrow_forward
- In a sport feast, a soccer ball is kicked from ground level over level ground with an initial velocity that has a vertical component of 20 m/s and a horizontal component of 30 m/s. Using g = 10 m/s^2, what is the ranged of the soccer ball? A. 40 m. B. 60 m. C. 80 m. D. 120 m. E. 180 m.arrow_forwardA tennis ball is hit upward into the air and moves along an arc. Neglecting airresistance, where along the arc is the speed of the ball (a) a minimum and (b)a maximum?arrow_forward7. A projectile is fired at 30 degrees above the horizontal with an initial speed of 600 meters per second. Find the magnitude of the velocity of the projectile after 2 seconds.A. 610.4 m/sB. 590.4 m/sC. 570.4 m/sD. 550.4 m/sarrow_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 LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill