Nelson R.
asked • 10/04/22A soccer ball was kicked toward the goal. The horizontal component of velocity was 22 m/s and the vertical component was 12 m/s . What is the magnitude of the resultant velocity of the soccer ball?
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1 Expert Answer
Abhijeet G. answered • 04/10/23
Tutor
New to Wyzant
Physics
The magnitude of the resultant velocity of the soccer ball is 25.06 m/s .
Let the horizontal component of velocity be and the vertical component of velocity be .
The magnitude of the resultant velocity will be represented by V.
So, we can write
The horizontal component of velocity = = 22 m/s
The vertical component of velocity = = 12 m/s
The relation between horizontal component, vertical component and resultant velocity is,
On substituting value of horizontal component and vertical component, we get
=
= 484 + 144
= 628
V =
V = 25.06 m/s
The magnitude of the resultant velocity of the soccer ball is 25.06 m/s .
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Taveen S.
When you are dealing with components you always assume there is a 90 degree triangle. This means you can use the Pythagoras theorem since you have a and b and are trying to solve for c. sqrt(22x22 + 12x12) = sqrt(484+144) = sqrt(628) = 25 meters per second. Since it is asking for the magnitude your answer will not include direction, it would just be 25 meters per second.04/10/23