Asoccer player kicks the ball with a velocity of 10 m/s at an angle of 80 degreees to the horizontal. find the horizontal and vertical components of the velocity of his kick.

Horizontal component of velocity =1.7364m/s

Vertical component of velocity =9.848m/s

Explanation:

As the ball is a 2D projectile,it has two components.

Concept of components of a vector:

1)All the possible independent components of a vector sum up to give the vector.

2)If the magnitude of a vector is v,then its component in the direction at an angle of Θ from the vector is equal to - vcos(Θ).

Now as the ball is having 2D motion,it has two independent components one along the horizontal,one along the vertical.

Given angle of velocity with horizontal =°

Therefore angle of velocity with vertical °°

°

Therefore,

Component of Velocity along horizontal =

cos(80°)

Component of velocity along vertical =

cos(10°)

Therefore

Horizontal component of velocity of ball =1.7364m/s

Vertical component of velocity of ball =9.848m/s

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