Understanding Motion and Projectiles

What is the relative velocity of an object moving at 5 m/s east and another at 3 m/s west?

• 8 m/s east

• 3 m/s east

• 5 m/s west

• 2 m/s east

In projectile motion, which components are independent of each other?

• The mass and shape of the projectile.

• The initial height and launch angle.

• The horizontal and vertical components of motion.

• The speed and direction of the projectile.

What is the formula for calculating the range of a projectile?

• R = (v^2 * sin(2θ)) / g

• R = (v^2 * sin(θ)) / 2g

• R = (v^2 * cos(θ)) / g

• R = (v * sin(θ)) / g

If a projectile is launched at an angle of 30 degrees, what is the vertical component of its velocity if the initial speed is 20 m/s?

• 15 m/s

• 10 m/s

• 5 m/s

• 25 m/s

What is the time of flight for a projectile launched vertically at 40 m/s?

• 8.16 seconds

• 5.00 seconds

• 12.30 seconds

• 10.50 seconds

How does air resistance affect the range of a projectile?

• Air resistance increases the range of a projectile.

• Air resistance only affects the speed of a projectile.

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

• Air resistance decreases the range of a projectile.

What is the maximum height reached by a projectile launched at 25 m/s at an angle of 45 degrees?

• 15.91 m

• 20.50 m

• 5.75 m

• 10.25 m

If a projectile is launched at an angle of 60 degrees, what is the horizontal component of its velocity if the initial speed is 15 m/s?

• 12.5 m/s

• 7.5 m/s

• 5 m/s

• 10 m/s

What happens to the vertical component of a projectile's velocity at the peak of its trajectory?

• The vertical component of the velocity remains constant at the peak.

• The vertical component of the velocity increases at the peak.

• The vertical component of the velocity becomes negative at the peak.

• The vertical component of the velocity becomes zero at the peak.

How can you calculate the total time of flight for a projectile launched at an angle?

• Total Time of Flight = (V * cos(θ)) / g

• Total Time of Flight = (2 * V * sin(θ)) / g

• Total Time of Flight = (V * sin(θ)) * g

• Total Time of Flight = (V * tan(θ)) / g