Vector Applications

Front

What is the definition of resultant velocity?

Back

Resultant velocity is the vector sum of all individual velocities acting on an object, taking into account both magnitude and direction.

Front

How do you calculate the magnitude of the resultant velocity when two velocities are perpendicular?

Back

Use the Pythagorean theorem: Resultant velocity = √(V1² + V2²), where V1 and V2 are the magnitudes of the two velocities.

Front

What is the formula to find the direction of the resultant velocity?

Back

Use the tangent function: θ = tan⁻¹(V_y / V_x), where V_y is the vertical component and V_x is the horizontal component.

Front

If an airplane travels north at 220 m/s and encounters a crosswind from the west at 50 m/s, what is the resultant velocity?

Back

226 m/s.

Front

What is the significance of vector addition in physics?

Back

Vector addition is crucial for determining the overall effect of multiple forces or velocities acting on an object.

Front

How do you determine the direction of an object's velocity when multiple vectors are involved?

Back

Analyze the components of each vector and use trigonometric functions to find the overall direction.

Front

What is the effect of a river's current on a boat's velocity?

Back

The river's current alters the boat's resultant velocity, combining the boat's speed with the current's speed and direction.

Front

How do you find the velocity of an object with respect to the ground when it is affected by wind?

Back

Combine the object's velocity with the wind's velocity using vector addition to find the ground velocity.

Front

What is the resultant velocity of a motorboat moving east at 5 m/s in a river flowing south at 3.3 m/s?

Back

6.0 m/s.

Front

What is the direction of Air Force One flying east at 250 m/s with a northward wind of 35 m/s?

Back

N 82º E.