Projectile Motion Calculations

The video tutorial explores projectile motion by launching an object at an 80° angle with a velocity of 30 m/s. It breaks down the velocity into horizontal and vertical components, calculates the time of flight using the quadratic formula, and determines the horizontal displacement. Finally, it computes the total displacement and direction using the Pythagorean theorem and trigonometric functions.

What is the initial angle at which the object is launched?

• 90°

• 60°

• 80°

• 70°

What is the initial speed of the object in meters per second?

• 20 m/s

• 35 m/s

• 30 m/s

• 25 m/s

How do you calculate the vertical component of velocity?

• Multiply total velocity by sine of angle

• Multiply total velocity by cosine of angle

• Divide total velocity by cosine of angle

• Divide total velocity by sine of angle

What is the acceleration due to gravity used in the calculations?

• 8.9 m/s²

• 11.8 m/s²

• 9.8 m/s²

• 10.8 m/s²

Which formula is used to solve for the time the object spends in the air?

• Quadratic equation

• Exponential equation

• Linear equation

• Logarithmic equation

What is the horizontal displacement of the object?

• 25.53 m

• 27.53 m

• 29.53 m

• 31.53 m

How is the total displacement of the object calculated?

• By adding horizontal and vertical displacements

• By subtracting vertical displacement from horizontal

• Using the Pythagorean theorem

• By multiplying horizontal and vertical displacements

What is the magnitude of the total displacement?

• 29.8 m

• 31.8 m

• 30.8 m

• 32.8 m

What is the angle of the total displacement vector with the horizontal?

• 19.71°

• 18.71°

• 17.71°

• 16.71°

Where does the object land on the platform?

• 25.53 m

• 26.53 m

• 28.53 m

• 27.53 m