(a) (b) (c) (d) (e) (f) (g) t = ? up down? t = ? total max. height? max d = ? V f (upon striking the ground) = ? at what time will object be located 30.0 m off the ground?

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Chapter1: Units, Trigonometry. And Vectors
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The velocity is 70.0m/s. The height labeled m is 30 m. The launch angle is 35 degrees

**Projectiles Fired at an Angle**

This educational section covers the analysis of projectiles launched at an angle. The key aspects are:

1. **Projectile Properties**: 
   - Initial speed: \( v = \text{?} \) m/s
   - Launch angle: \( 35^\circ \)

2. **Questions to Explore**:
   - (a) \( t_{\text{up}} = \) ? 
   - (b) \( t_{\text{down}} = \) ? 
   - (c) \( t_{\text{total}} = \) ?
   - (d) What is the maximum height?
   - (e) What is the maximum horizontal distance, \( d_H \)?
   - (f) \( v_f \) (velocity upon striking the ground) = ?
   - (g) At what time will the object be located 30.0 m off the ground?

**Diagram Explanation**:

The diagram shows a projectile's trajectory starting at a height \( m \) above ground level. The object is launched with an initial speed \( v \) at an angle of \( 35^\circ \). The graphical representation illustrates a typical parabolic path of the projectile. Key features such as the angle of launch and the initial speed vector are marked.

This content is significant for understanding the fundamentals of projectile motion, including time of flight, maximum height, and range.
Transcribed Image Text:**Projectiles Fired at an Angle** This educational section covers the analysis of projectiles launched at an angle. The key aspects are: 1. **Projectile Properties**: - Initial speed: \( v = \text{?} \) m/s - Launch angle: \( 35^\circ \) 2. **Questions to Explore**: - (a) \( t_{\text{up}} = \) ? - (b) \( t_{\text{down}} = \) ? - (c) \( t_{\text{total}} = \) ? - (d) What is the maximum height? - (e) What is the maximum horizontal distance, \( d_H \)? - (f) \( v_f \) (velocity upon striking the ground) = ? - (g) At what time will the object be located 30.0 m off the ground? **Diagram Explanation**: The diagram shows a projectile's trajectory starting at a height \( m \) above ground level. The object is launched with an initial speed \( v \) at an angle of \( 35^\circ \). The graphical representation illustrates a typical parabolic path of the projectile. Key features such as the angle of launch and the initial speed vector are marked. This content is significant for understanding the fundamentals of projectile motion, including time of flight, maximum height, and range.
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