Understanding Parabolic Motion

What is the shape of the trajectory of a projectile?

• Circular

• Linear

• Parabolic

• Elliptical

Define the term 'vertex' in the context of a parabola.

• The vertex is the highest or lowest point of a parabola.

• The vertex is the point where the parabola intersects the x-axis.

• The vertex is the point where the parabola changes direction.

• The vertex is the midpoint of the parabola's base.

What factors affect the range of a projectile?

• Type of projectile material

• Wind speed and direction

• Initial velocity, launch angle, height of launch, and acceleration due to gravity.

• Color of the projectile

How do you calculate the maximum height of a projectile?

• h = (v^2 * tan(θ)) / g

• h = (v^2 * sin^2(θ)) / (2 * g)

• h = (v * cos(θ)) / g

• h = (g * sin(θ)) / (2 * v^2)

Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2

What is the formula for the trajectory of a projectile?

• y = v * sin(θ) * t - (1/2) * g * t^2

• y = (v^2 * sin(2θ)) / g

• y = g * t^2 + v * cos(θ) * t

• y = x * tan(θ) - (g * x^2) / (2 * (v * cos(θ))^2)

Explain the significance of the initial velocity in parabolic motion.

• Initial velocity only determines the color of the projectile.

• The initial velocity is significant as it affects the trajectory, range, and maximum height of the projectile in parabolic motion.

• Initial velocity is only important for horizontal motion.

• Initial velocity has no effect on the motion of the projectile.

How does air resistance affect the motion of a projectile?

• Air resistance only affects the color of the projectile.

• Air resistance decreases the range and height of a projectile.

• Air resistance has no effect on the motion of a projectile.

• Air resistance increases the speed of a projectile.

What is the time of flight for a projectile launched at an angle?

• T = (v * cos(θ)) / g

• T = (2 * v * sin(θ)) / g

• T = (2 * g) / (v * sin(θ))

• T = (v * sin(θ)) / (2 * g)

Describe the relationship between the angle of launch and the range of a projectile.

• The range is maximized at 30 degrees and decreases thereafter.

• The angle of launch has no effect on the range of a projectile.

• The range of a projectile increases with the angle of launch up to 45 degrees, after which it decreases.

• The range increases indefinitely with the angle of launch.

What is the difference between horizontal and vertical motion in projectile motion?

• Horizontal motion is affected by air resistance; vertical motion is not.

• Both horizontal and vertical motions are accelerated due to gravity.

• Horizontal motion is uniform with constant velocity; vertical motion is accelerated due to gravity.

• Horizontal motion is accelerated; vertical motion is uniform with constant velocity.