Question

one of the rectangular components of a velocity of 60km h^_1 is 30km h^_1 find other rectangular component

Answer 1

Resultant velocity (v) =√(v1)^2+(v2)^2

where v1 and v2 are the rectangular components of velocity.
v = 60 m/s
v1 = 30 m/s
on substituting the value, we get,
v2 = 51.96 m/s

Answer 2

Concept:

The total velocity of an object can be calculated by adding the x and y components because velocity is a vector (it has magnitude and direction): √v_x² + v_y²

Given:

One of the rectangular component, v_x = 30km/hr

Velocity = 60km/hr

Find:

We need to determine the other rectangular component of velocity 60km/hr i.e. v_y

Solution:

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.

The two elements that make up a vector are referred to as its components and show how that vector has an impact in just one direction. A projectile's initial velocity has both a horizontal component and a vertical component if it is thrown at an angle to the horizontal.

The total velocity of an object can be calculated by adding the x and y components because velocity is a vector (it has magnitude and direction): v² = v_x² + v_y².

We have, v_x = 30km/hr

Velocity, v = 60km/hr

Therefore, formula becomes, v =  √v_x² + v_y²

60 =  √30² + v_y²

v_y = √3600 - 900

v_y = √2700

v_y = 30√3 km/hr

Thus, the other rectangular component is 30√3 km/hr.

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