Question

a soccer ball is kicked by Lionel Messi with initial velocity of 80 m/s and angle of 45 degrees. a,)velocity and angle of ball at height of 30 m b.) velocity and angle of ball 4 s after projection

Answer 1

Initial velocity of ball

Angle of projection of ball

Initial horizontal component of velocity

Initial vertical component of velocity

a)

When the ball is at height

Using

in the vertical direction

In the horizontal direction ( does not change)

Velocity is

Angle is counter clockwise from +X axis.

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b)

At time after projection,

Using

In the horizontal direction, ( does not change)

In the vertical direction,

Velocity is

Angle is counter clockwise from +X axis.

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