5. A football is kicked off with an initial speed of 64 ft/s at a projection angle of 45 °. A receiver 180 ft. away in the direction of the kick starts running to meet the ball at that instant. What must be his average speed if he is to catch the ball just before it hits the ground? Neglect air resistance. Answer: 5.61 m/s um elevation 1

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)...
icon
Related questions
Question

Please solve 5 and 6 

Certainly! Below is the transcription and explanation meant for an educational website:

---

### Physics Problems in Projectile Motion and Dynamics

**1. A cannonball is fired at an angle of 38°, and has a muzzle velocity of 122 m/s.**
   - (a) What is the x-component of the velocity of the cannonball as it leaves the cannon?
   - (b) What is the y-component of the velocity of the cannonball as it leaves the cannon?
   - (c) What are the x-component and the y-component of the velocity just before the ball hits the ground?
   - (d) What are the x-component and the y-component of the velocity when the ball is at the peak of its trajectory?

   **Answers:** 
   - (a) 96.1 m/s
   - (b) 75.1 m/s
   - (c) 96.1 m/s, -75.1 m/s
   - (d) 96.1 m/s, 0

**2. You toss a rock off the top of a building that is 70 m high, throwing it initially in the horizontal direction with a velocity of 13 m/s.**
   - (a) Fill out the following chart, leaving a "?" for any unknown values at this point. Please note as well that \(v_x\) and \(v_y\) at the end of the flight are NOT ZERO.

```
    \(x_0 =\)
    \(y_0 =\)
    \(x =\)
    \(y =\)
    \(v_{0x} =\)
    \(v_{0y} =\)
    \(v_x =\)
    \(v_y =\)
    \(a_x =\)
    \(a_y =\)
    \(t =\)
```

   - (b) How long does the rock take to fall before it reaches the ground? Would this time change if it were initially thrown in the same direction with a velocity of 26 m/s?
   - (c) How far, in the x-direction, does the rock land away from the building?
   - (d) What are the velocities of the rock in the x and y direction just before it hits the ground?

   **Answers:** 
   - (b) 3.78 s
   - (c) 49.1 m
Transcribed Image Text:Certainly! Below is the transcription and explanation meant for an educational website: --- ### Physics Problems in Projectile Motion and Dynamics **1. A cannonball is fired at an angle of 38°, and has a muzzle velocity of 122 m/s.** - (a) What is the x-component of the velocity of the cannonball as it leaves the cannon? - (b) What is the y-component of the velocity of the cannonball as it leaves the cannon? - (c) What are the x-component and the y-component of the velocity just before the ball hits the ground? - (d) What are the x-component and the y-component of the velocity when the ball is at the peak of its trajectory? **Answers:** - (a) 96.1 m/s - (b) 75.1 m/s - (c) 96.1 m/s, -75.1 m/s - (d) 96.1 m/s, 0 **2. You toss a rock off the top of a building that is 70 m high, throwing it initially in the horizontal direction with a velocity of 13 m/s.** - (a) Fill out the following chart, leaving a "?" for any unknown values at this point. Please note as well that \(v_x\) and \(v_y\) at the end of the flight are NOT ZERO. ``` \(x_0 =\) \(y_0 =\) \(x =\) \(y =\) \(v_{0x} =\) \(v_{0y} =\) \(v_x =\) \(v_y =\) \(a_x =\) \(a_y =\) \(t =\) ``` - (b) How long does the rock take to fall before it reaches the ground? Would this time change if it were initially thrown in the same direction with a velocity of 26 m/s? - (c) How far, in the x-direction, does the rock land away from the building? - (d) What are the velocities of the rock in the x and y direction just before it hits the ground? **Answers:** - (b) 3.78 s - (c) 49.1 m
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Unit conversion
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.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON