**Problem: Projectile Motion**A projectile is launched at a speed of 47 m/s at an angle of 39 degrees above the horizontal. Determine the exact time after launch when a portal should cover the ground to intercept the projectile before it hits the ground.**Concepts Involved:**1. **Initial Velocity (u):** 47 m/s2. **Angle of Projection (θ):** 39 degrees3. **Horizontal and Vertical Components of Velocity:** - Horizontal velocity (u_x) = u * cos(θ) - Vertical velocity (u_y) = u * sin(θ)4. **Time of Flight (t):** Use the formula for the time of flight of a projectile: \[ t = \frac{2u_y}{g} \] where \(g = 9.81 \, \text{m/s}^2\) (acceleration due to gravity)**Objective:**Calculate the time of flight to determine when the ground should be covered in a portal to intercept the projectile.

Given Initial speed of turd is v0= 47 m/s Acceleration due to gravity is g= 9.80 m/s2 Angle of…

Answered: The turd is launched at a speed of 47…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A horizontal rifle is fired at a bull's-eye. The muzzle speed of the bullet is 650 m/s. The gun is pointed directly at the center of the bull's-eye, but the bullet strikes the target 0.023 m below the center. What is the horizontal distance between the end of the rifle and the bull's-eye?
An object is launched with an initial velocity of 24.5 m/s at an angle of 37.2 degrees relative to the +x direction. If it is initially at ground level, at what distance away does it return to the ground?
A father demonstrates projectile motion to his children by placing a pea on his fork's handle and rapidly depressing the curved tines, launching the pea to heights above the dining room table. Suppose the pea is launched at 7.59 m/s at an angle of 77.0° above the table. With what speed (in m/s) does the pea strike the ceiling 1.80 m above the table?
A bullet is fired. at 250 m/s horizontally over level ground at an altitude of 1.9 meters. How far (in meters) horizontally will the bullet travel before strinking the ground?
An inflatable life raft is released from an airplane at 300 m altitude, in level flight, with an air speed of 40 m/s in the horizontal direction. At what horizontal distance from the release point does the raft strike the water?
San Francisco Giants mascot Lou Seal is trying to shoot t-shirts into the crowd at Oracle Park. Lou wants to deliver a t-shirt into the hands of a fan standing 40 m away horizontally but 16 m above the launch point. If he angles the t-shirt cannon 45 degrees above the horizontal, what speed does the cannon need to launch at to get the t-shirt to the fan? (You can ignore air resistance in this problem).
A projectile is launched with an initial velocity of 60.0 m/s at an angle of 30.0° above the horizontal. The projectile lands on a hillside 4.00 s later. What is the projectile’s velocity (magnitude and direction) at the instant before striking the hillside? Answers: (a) 52.8 m/s @ -10.1
Use the technique of separating the problem into X- and Y- components to solve this problem: A Halloween prankster throws an egg out the window of an office building down onto the parking lot below. The egg is thrown with a velocity of 18 meters / second, at an upward angle of 23 degrees, and is release exactly 53 meters above the surface of the parking lot. The egg lands on the roof of a parked SUV, 2 meters above the surface of the parking lot. Using a gravitational constant, g, of 9.8 meters / second² calculate the following: 1) The time it takes for the egg to hit the parked SUV. (seconds) 2) The total distance away from the building that the egg lands. (meters)
On a beautiful spring day, Juan is playing a round of golf. He hits the golfball with an initial velocity of 37 m/s at an angle of 27.4°. If it hits the ground 5.8s later, how far does it travel? Ignore air resistance. Answer: m
An object is launched with an initial velocity of 26.7 m/s at an angle of 36.5 degrees relative to the +x direction. If it is initially at ground level, at what distance away does it return to the ground?
A rock is thrown at 29.1 m/s at a 20.0 degree angle above the horizontal off a cliff and into the ocean. The rock hits the water 3.03 seconds later. At what impact angle below the horizontal does the rock hit the water?
Rory McIIroy launches a golf ball at ground level with an initial speed of 65 m/s at an angle of 20° above the horizontal. It strikes a flying drone above the ground 4 seconds later. What are the x (horizontal) and y (vertical) distances in meters from where the golf ball was launched to where it hits the flying drone?

Recommended textbooks for you

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

Physics for Scientists and Engineers

Physics

ISBN:

9781337553278

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Lecture- Tutorials for Introductory Astronomy

Physics

ISBN:

9780321820464

Author:

Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden

Publisher:

Addison-Wesley

College Physics: A Strategic Approach (4th Editio…

Physics

ISBN:

9780134609034

Author:

Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher:

PEARSON

SEE MORE TEXTBOOKS

The turd is launched at a speed of 47 m/s at an angle of 39 degrees above the horizontal. At exactly what time after launch should the ground be covered in a portal to intercept the turd before it hits the ground?