Relative Velocity

Front

What is relative velocity?

Back

Relative velocity is the velocity of an object as observed from a particular reference frame, often expressed as the difference between the velocities of two objects.

Front

How do you calculate the takeoff speed of an object given its maximum height?

Back

Use the formula: vf^2 = vi^2 + 2a * d, where vf = final velocity (0 at max height), vi = initial velocity (takeoff speed), a = acceleration due to gravity (-9.8 m/s^2), and d = maximum height.

Front

What is the formula to find the magnitude of a vector given its components?

Back

The magnitude of a vector AB with components (i, j) is calculated using the formula: |AB| = √(i^2 + j^2).

Front

How do you express a vector as a linear combination of unit vectors i and j?

Back

A vector can be expressed as a linear combination of unit vectors i and j by determining the change in x (i) and change in y (j) from the initial to terminal points.

Front

What is the formula for calculating relative velocity between two objects?

Back

The relative velocity of object B with respect to object A is given by: Vb/a = Vb - Va.

Front

What is the significance of the negative sign in acceleration due to gravity?

Back

The negative sign indicates that gravity acts in the opposite direction to the motion of an object that is moving upwards.

Front

How do you determine the direction of a vector?

Back

The direction of a vector is determined by the angle it makes with a reference axis, often expressed in degrees or radians.

Front

What is the difference between scalar and vector quantities?

Back

Scalar quantities have only magnitude (e.g., speed), while vector quantities have both magnitude and direction (e.g., velocity).

Front

How do you find the acceleration of an object at its maximum height?

Back

At maximum height, the acceleration of an object in free fall is equal to the acceleration due to gravity, which is -9.8 m/s^2.

Front

What is the relationship between initial velocity, final velocity, and acceleration?

Back

The relationship is described by the equation: vf = vi + at, where vf is final velocity, vi is initial velocity, a is acceleration, and t is time.