Explanation Given info: The archer is standing on a 15 ° slope.The archer shoots an arrow 20 ° above the horizontal, the initial speed of the arrow is 50 m / s , and the archer is standing at 1.75 m above the ground. The following figure shows the position and motion of the arrow. Figure I Formula to calculate the slope of the path of motion of the arrow is tan θ = − y x θ is the inclined angle of the ground. Substitute 15 ° for θ in the above equation to find y . tan ( 15 ° ) = − y x y = − 0.268 x (I) Formula to calculate the final vertical position of the arrow is y = y 0 + ( v 0 sin ϕ ) t 1 + 1 2 ( − g ) t 2 y is the final vertical position of the arrow. y 0 is the initial position of the arrow. v 0 is the initial velocity of the arrow. ϕ is the launch angle of the arrow. g is the acceleration due to gravity. t is the traveling period of the arrow. Substitute 1.75 m for y 0 , 50 m / s for v 0 , 20 ° for ϕ and 9.8 m/s 2 for g in the above equation to find y . y = ( 1.75 m ) + ( ( 50 m / s ) sin ( 20 ° ) ) t 1 + 1 2 ( − 9.8 m / s 2 ) t 2 = ( 1.75 m ) + ( 17.10 m / s ) t 1 − ( 4.9 m / s 2 ) t 2 (II) Formula to calculate the final horizontal position of the arrow is, x = x 0 + ( v 0 cos ϕ ) t + 1 2 a x t 2 x is the final horizontal position of the arrow. x 0 is the initial horizontal position of the arrow. a x is the horizontal acceleration of the arrow. The horizontal velocity of the arrow is constant throughout the motion, so the horizontal acceleration of the arrow is zero. Substitute 0 m for x 0 , 50 m / s for v 0 , 20 ° for ϕ and 0 m/s 2 for a x in the above equation to find x . x = ( 0 m ) + ( ( 50 m/s ) cos ( 20 ° ) ) t + 1 2 ( 0 m/s 2 ) t 2 = ( 46.98 m/s ) t (III) Substitute ( 1.75 m ) + ( 17.10 m / s ) t 1 − ( 4

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

4th Edition

ISBN: 9780134110684

Author: Randall D. Knight (Professor Emeritus)

Publisher: PEARSON

See similar textbooks

Concept explainers

Projectile Motion

Videos

Question

Chapter 4, Problem 82EAP

To determine

The distance down the slope at which the arrow hits the ground.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4, Problem 81EAP

Chapter 4, Problem 83EAP

Students have asked these similar questions

No chatgpt pls

No chatgpt pls will upvote

10. Inx 8.817 11.9.30 × 10-6 12.0.00500010 13.331,000,000 14.6.0005 15.pH=-log[H3O+} = 12.1830

Chapter 4 Solutions

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

Ch. 4 - a. At this instant, is the particle in FIGURE Q4.1...Ch. 4 - a. At this instant, is the particle in FIGURE Q4.2...Ch. 4 - Tarzan swings through the jungle by hanging from a...Ch. 4 - A projectile is launched at an angle of 30°. a. Is...Ch. 4 - For a projectile, which of the following...Ch. 4 - A cart that is rolling at constant velocity on a...Ch. 4 - A rock is thrown from a bridge at an angle 30°...Ch. 4 - Anita is running to the right at 5 m/s in FIGURE...Ch. 4 - An electromagnet on the ceiling of an airplane...Ch. 4 - Zack is driving past his house in FIGURE Q4.1O. He...

Ch. 4 - II. In FIGURE Q4.11. Yvette and Zack are driving...Ch. 4 - In uniform circular motion, which of the following...Ch. 4 - FIGURE Q4.13 shows three points on a steadily...Ch. 4 - FIGURE Q4.14 shows four rotating wheels. For each,...Ch. 4 - FIGURE Q4.15 shows a pendulum at one end point of...Ch. 4 - Problems I and 2 show a partial motion diagram....Ch. 4 - Prob. 2EAP Ch. 4 - Answer Problems 3 through 5 by choosing one of the...Ch. 4 - Answer Problems 3 through 5 by choosing one of the...Ch. 4 - Answer Problems 3 through 5 by choosing one of the...Ch. 4 - A rocket-powered hockey puck moves on a horizontal...Ch. 4 - A rocket-powered hockey puck moves on a horizontal...Ch. 4 - Prob. 8EAP Ch. 4 - A particle moving in the xy- plane has velocity v...Ch. 4 - You have a remote-controlled car that has been...Ch. 4 - A ball thrown horizontally at 25 m/s travels a...Ch. 4 - A physics student on the Planet Exidor throws a...Ch. 4 - A supply plane needs to drop a package of food to...Ch. 4 - A rifle is aimed horizontally at a target 50 m...Ch. 4 - In the Olympic shotput event, an athlete throws...Ch. 4 - On the Apollo 14 mission to the moon, astronaut...Ch. 4 - A baseball player friend of yours wants to...Ch. 4 - A boat takes 3.0 hours to travel 30 km down a...Ch. 4 - When the moving sidewalk at the airport is broken,...Ch. 4 - Prob. 20EAP Ch. 4 - A kayaker, needs to paddle north across a...Ch. 4 - Susan, driving north at 60 mph, and Trent, driving...Ch. 4 - FIGURE EX4.23 shows the...Ch. 4 - FIGURE EX4.24 shows the...Ch. 4 - FIGURE EX4.25 shows the...Ch. 4 - The earth’s radius is about 4000 miles. Kampala,...Ch. 4 - An old-fashioned single-play vinyl record rotates...Ch. 4 - As the earth mates, what is the speed of (a) a...Ch. 4 - How fast must a plane fly along the earth’s...Ch. 4 - A 3000-rn-high mountain is located on the equator....Ch. 4 - Peregrine falcons are known for their maneuvering...Ch. 4 - To withstand “g-forces” of up to 10 g’s, caused by...Ch. 4 - The radius of the earth’s very nearly circular...Ch. 4 - A speck of dust on a spinning DVD has a...Ch. 4 - Your roommate is working on his bicycle and has...Ch. 4 - I FIGURE EX4.36 shows the angular velocity graph...Ch. 4 - I FIGURE EX4.37 shows the angular acceleration...Ch. 4 - FIGURE EX4.38 shows the...Ch. 4 - A wheel initially rotating at 60 rpm experiences...Ch. 4 - A 5.0-rn-diameter merry-go-round is initially...Ch. 4 - An electric fan goes from rest to 1800 rpm in 4.0...Ch. 4 - A bicycle wheel is rotating at 50 rpm when the...Ch. 4 - Starting from rest, a DVD steadily accelerates to...Ch. 4 - A spaceship maneuvering near Planet Zeta is...Ch. 4 - equation reference goes here45. A particle moving...Ch. 4 - A projectile’s horizontal range over level ground...Ch. 4 - a. A projectile is launched with speed v0and angle...Ch. 4 - A projectile is launched from ground level at...Ch. 4 - A gray kangaroo can bound across level ground with...Ch. 4 - A ball is thrown toward a cliff of height h with a...Ch. 4 - A tennis player hits a ball 2.0 m above the...Ch. 4 - You are target shooting using a toy gun that fires...Ch. 4 - A 35 g steel ball is held by a ceiling-mounted...Ch. 4 - You are watching an archery tournament when you...Ch. 4 - You’re 6.0 m from one wall of the house seen in...Ch. 4 - Sand moves without slipping at 6.0 m/s down a...Ch. 4 - A stunt man drives a car at a speed of 20 m/s off...Ch. 4 - A javelin thrower standing at rest holds the...Ch. 4 - A rubber ball is dropped onto a ramp that is...Ch. 4 - You are asked to consult for the city’s research...Ch. 4 - Ships A and B leave port together. For the next...Ch. 4 - While driving north at 25 m/s during a rainstorm...Ch. 4 - You’ve been assigned the task of using a shaft...Ch. 4 - Prob. 64EAP Ch. 4 - Prob. 65EAP Ch. 4 - Astronauts use a centrifuge to simulate the...Ch. 4 - Communications satellites are placed in a circular...Ch. 4 - Prob. 68EAP Ch. 4 - A high-speed drill rotating ccw at 2400 rpm comes...Ch. 4 - A turbine is spinning at 3800 rpm. Frication in...Ch. 4 - Prob. 71EAP Ch. 4 - The angular velocity of a process control motor is...Ch. 4 - A Ferris wheel of radius R speeds up with angular...Ch. 4 - Prob. 74EAP Ch. 4 - A painted tooth on a spinning gear has angular...Ch. 4 - A car starts from rest on a curve with radius of...Ch. 4 - Prob. 77EAP Ch. 4 - In Problem 78 through 80 you are given the...Ch. 4 - Prob. 79EAP Ch. 4 - In Problem 78 through 80 you are given the...Ch. 4 - In one contest at the country fair, seen in FIGURE...Ch. 4 - Prob. 82EAP Ch. 4 - Prob. 83EAP Ch. 4 - Prob. 84EAP Ch. 4 - Prob. 85EAP

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.