Two-Dimensional Motion of a Rolling Ball Off a Cliff

This video tutorial covers a two-dimensional motion problem involving a ball rolling off a cliff. It explains how to calculate the time it takes for the ball to hit the ground, the range of the projectile, and the final speed and velocity before impact. The tutorial uses physics equations and concepts such as vertical and horizontal motion, gravity, and the Pythagorean theorem to solve the problem. It also provides references to additional resources for further learning.

What is the initial horizontal speed of the ball as it rolls off the cliff?

• 15 meters per second

• 5 meters per second

• 20 meters per second

• 10 meters per second

Which of the following is the correct formula to calculate the time taken for the ball to hit the ground?

• x = x0 + v0t + 1/2 at^2

• s = ut + 1/2 at^2

• y = y0 + v0t + 1/2 at^2

• v = u + at

What is the vertical acceleration of the ball due to gravity?

• -9.8 m/s^2

• 0 m/s^2

• 5 m/s^2

• 9.8 m/s^2

How long does it take for the ball to hit the ground?

• 5.5 seconds

• 8.2 seconds

• 10.1 seconds

• 12.3 seconds

What is the range of the projectile?

• 75.5 meters

• 50.5 meters

• 25.5 meters

• 100.5 meters

What remains constant for the ball during its flight?

• Vertical acceleration

• Horizontal acceleration

• Vertical velocity

• Horizontal velocity

What is the final speed of the ball just before it hits the ground?

• 50.5 m/s

• 75.5 m/s

• 99.1 m/s

• 120.1 m/s

What is the vertical velocity of the ball just before it hits the ground?

• 98.98 m/s

• 5 m/s

• 0 m/s

• -98.98 m/s

How is the final velocity of the ball described?

• 99.1 m/s at 87.1 degrees

• 99.1 m/s at 272.9 degrees

• 50.5 m/s at 87.1 degrees

• 50.5 m/s at 272.9 degrees

What is the angle of the final velocity vector measured from the positive x-axis?

• 272.9 degrees

• 360 degrees

• 87.1 degrees

• 180 degrees