Physics Projectile Motion Quiz

What is the formula to calculate the initial horizontal component of the velocity (vix) of a projectile?

Which angle will provide the maximum initial vertical component of velocity (viy) for a projectile?

If a projectile is launched at an angle of 60° with an initial speed of 8 m/s, what is the initial vertical component of velocity (viy)?

What type of trajectory do projectiles fired at an angle create?

In terms of projectile motion, what does SOH CAH TOA represent?

If a projectile is fired at an angle of 0°, what will be the initial vertical component of velocity (viy)?

For a projectile fired with an initial velocity of 10 m/s at an angle of 45°, what is the initial horizontal component of velocity (vix)?

What happens to the vertical component of velocity (viy) as the angle of projection decreases from 90° to 0°?

Projectile Launched at an Angle

Projectile motion involves objects launched at an angle, analyzing their horizontal and vertical components of velocity.
Formulas for analyzing the horizontal and vertical component of velocity are determined using trigonometry (SOH CAH TOA)
- Horizontal component (v_ix) = v cos θ
- Vertical component (v_iy) = v sin θ
- v = the initial velocity.
- θ= the angle the projectile is launched above the horizontal.

Projectile Launched Horizontally

A projectile is launched horizontally from a height of 65 meters with an initial horizontal speed of 35 m/s.
The horizontal component of the projectile's speed is constant (35 m/s) throughout its flight.
Its vertical position progressively drops under acceleration due to gravity (approximately -9.8 m/s²).
To find the horizontal speed of the projectile after it has fallen a certain vertical distance (25m), use the vertical displacement equation: the vertical displacement can be determined using the equations: y=y0+v0yt+1/2a*t^2

Projectiles Fired at an Angle II

Projectiles launched at an angle follow a parabolic path. The horizontal motion is constant, while the vertical motion is affected by gravity.
The path of the projectile follows a parabolic curve.

Key Concepts About Projectiles

Horizontal Motion:
- Constant horizontal velocity.
- Horizontal acceleration is zero (a_x = 0 m/s²)
- Horizontal displacement (d_x) = v_x * t
Vertical Motion:
- Vertical motion is affected by gravity: acceleration (a_y )= −9.8 m/s² or approximately − 10 m/s²
- Vertical displacement (d_y) = v_0y * t + ½ a_y * t² (v_0y initial vertical component)
- At the highest point of the projectile's trajectory, the vertical component of velocity is zero. (v_y = 0 m/s).
Important Formulas:
- d_x = v_x * t (horizontal displacement).
- d_y = v_0y * t + ½ a_y * t² (vertical displacement).

Test your understanding of projectile motion involving objects launched at an angle and horizontally. This quiz covers the calculation of horizontal and vertical components of velocity, along with the impact of gravity on their motion. Dive into the equations and concepts that describe the dynamics of projectiles in motion.