Projectile Motion and Trigonometric Functions

The video tutorial covers the assumptions and principles of projectile motion, including the negligible effects of earth's curvature, wind resistance, and gravity variations. It explains the horizontal and vertical components of motion, deriving equations for each. The tutorial also describes the projectile motion graph and uses trigonometry to solve related problems. An example problem is solved to illustrate these concepts.

Which of the following is NOT an assumption made in basic projectile motion?

• The Earth is flat over the projectile's range.

• Wind resistance is negligible.

• Gravity varies with altitude.

• The curvature of the Earth is ignored.

In projectile motion, what is the horizontal acceleration of the object?

• Depends on the initial velocity

• 0 m/s²

• 32 ft/s²

• 9.8 m/s²

What happens to the vertical velocity of a projectile at its maximum height?

• It is equal to the initial vertical velocity.

• It is at its maximum value.

• It equals the horizontal velocity.

• It is zero.

Which equation represents the horizontal position of a projectile?

• x = Vix * t

• x = Viy * t - 0.5 * g * t²

• x = Viy * t + 0.5 * ay * t²

• x = Vix * t + 0.5 * ax * t²

How is the vertical position of a projectile calculated?

• y = Vix * t

• y = Viy * t + 0.5 * g * t²

• y = Viy * t - 0.5 * g * t²

• y = Vix * t + 0.5 * ax * t²

What trigonometric function is used to find the initial horizontal velocity component?

• Sine

• Cosine

• Tangent

• Cotangent

Which trigonometric function helps calculate the initial vertical velocity component?

• Sine

• Cosine

• Tangent

• Secant

In the example problem, what is the initial horizontal velocity if the initial velocity is 160 ft/s at an angle of 53 degrees?

• 96 ft/s

• 53 ft/s

• 128 ft/s

• 160 ft/s

What is the initial vertical velocity in the example problem with an initial velocity of 160 ft/s at 53 degrees?

• 128 ft/s

• 53 ft/s

• 96 ft/s

• 160 ft/s

In the example problem, what is the angle of projection?

• 60 degrees

• 53 degrees

• 45 degrees

• 90 degrees