## Projectile Motion ProblemSuppose a projectile is fired with initial speed \( v_0 \) and angle \( \theta \) above the horizontal.### Problem Breakdown#### a) Understand and Plan- **Task**: Draw a picture, establish a coordinate system for this problem, and label your diagram.- **Objective**: Make a table of known/given information and unknown/wanted information. (This may involve reading the rest of the problem before starting.)#### b) Maximum Height- **Using Kinematics**: Derive a symbolic expression for the maximum height reached by the projectile.- **Task**: Check the physical units of your expression.#### c) Total Time in the Air- **Using Kinematics**: Derive a symbolic expression for the total time the projectile is in the air.- **Task**: Check the physical units of your expression.#### d) Projectiles Velocity- **Using Kinematics**: Derive an expression for the magnitude and direction angle of the projectile's velocity at time \( t \) after the object is fired.- **Task**: Check the physical units of your expression.#### e) Example Calculation- **Given**: The projectile is fired with an initial speed of \( v_0 = 46.6 \, \text{m/s} \) and \( \theta = 42.2^\circ \).- **Requirement**: Calculate the magnitude and direction angle of the projectile’s velocity at \( t = 1.50 \, \text{s} \) after being fired.

According to Bartleby policy we will only solve the first three subparts.

Suppose a projectile is fired with initial speed v, and angle 8 above the horizontal. a) Understand and plan. Draw a picture, establish a coordinate system for this problem and label your diagram. Make a table of known/given information and unknown/wanted information (this may involve reading the rest of the problem before starting). b) Using Kinematics, derive a symbolic expression for the maximum height reached by the projectile. Check the physical units of your expression. c) Using Kinematics, derive a symbolic expression for the total time the projectile is in the air. Check the physical units of your expression.

Suppose a projectile is fired with initial speed v, and angle 8 above the horizontal. a) Understand and plan. Draw a picture, establish a coordinate system for this problem and label your diagram. Make a table of known/given information and unknown/wanted information (this may involve reading the rest of the problem before starting). b) Using Kinematics, derive a symbolic expression for the maximum height reached by the projectile. Check the physical units of your expression. c) Using Kinematics, derive a symbolic expression for the total time the projectile is in the air. Check the physical units of your expression.

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)...

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Question

## Projectile Motion Problem

Suppose a projectile is fired with initial speed \( v_0 \) and angle \( \theta \) above the horizontal.

### Problem Breakdown

#### a) Understand and Plan
- **Task**: Draw a picture, establish a coordinate system for this problem, and label your diagram.
- **Objective**: Make a table of known/given information and unknown/wanted information. (This may involve reading the rest of the problem before starting.)

#### b) Maximum Height
- **Using Kinematics**: Derive a symbolic expression for the maximum height reached by the projectile.
- **Task**: Check the physical units of your expression.

#### c) Total Time in the Air
- **Using Kinematics**: Derive a symbolic expression for the total time the projectile is in the air.
- **Task**: Check the physical units of your expression.

#### d) Projectiles Velocity
- **Using Kinematics**: Derive an expression for the magnitude and direction angle of the projectile's velocity at time \( t \) after the object is fired.
- **Task**: Check the physical units of your expression.

#### e) Example Calculation
- **Given**: The projectile is fired with an initial speed of \( v_0 = 46.6 \, \text{m/s} \) and \( \theta = 42.2^\circ \).
- **Requirement**: Calculate the magnitude and direction angle of the projectile’s velocity at \( t = 1.50 \, \text{s} \) after being fired.

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