Question

At a particular instant, a football has a velocity of 25 m s–1 and its direction makes an
angle of 30° above the horizontal. Determine the vertical and horizontal components
of its velocity

Answer 1

This question involves the concepts of the resolution of vector and rectangular components.

The vertical and horizontal components of velocity are "21.65 m/s" and "12.5 m/s", respectively.

What are rectangular components?

The resolution of a vector into its rectangular components gives two components of the vector in the horizontal and the vertical directions. These components can be mathematically found as follows:

$v_x=v\ Cos\ \theta$

where,

• $v_x$ = horizontal component = ?
• v = velocity = 25 m/s
• θ = angle = 30°

Therefore,

$v_x = (25\ m/s)Cos (30^o)\\v_x = 21.65\ m/s$

For vertical component:

$v_y=v\ Sin\ \theta$

where,

• $v_y$ = vertical component = ?
• v = velocity = 25 m/s
• θ = angle = 30°

Therefore,

$v_y = (25\ m/s)Sin (30^o)\\v_y = 12.5\ m/s$

Learn more about rectangular components here:

https://brainly.com/question/20359105

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