Vertical Component of this Picture?

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SUMMARY

The vertical component of the velocity of a ball kicked at an angle of 52° with an initial speed of 17 m/s can be calculated using trigonometric functions. The vertical velocity (Vy) is determined by the formula Vy = V * sin(θ), where V is the initial velocity and θ is the angle of projection. For this scenario, Vy equals 17 m/s * sin(52°), resulting in a vertical component of approximately 13.1 m/s when the ball reaches the plane of the fence. This calculation assumes no air resistance and a gravitational acceleration of 9.8 m/s².

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  • Familiarity with the equations of motion under gravity
  • Ability to perform calculations involving angles and velocities
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A ball of mass 0.6 kg, initially at rest, is
kicked directly toward a fence from a point
20 m away, as shown below.
The velocity of the ball as it leaves the
kicker’s foot is 17 m/s at angle of 52◦
above
the horizontal. The top of the fence is 7 m
high. The ball hits nothing while in flight and
air resistance is negligible.
The acceleration due to gravity is 9.8 m/s

What is the vertical component of the velocity
when the ball reaches the plane of the fence?
Answer in units of m/sI've tried -1.764

Untitled-1.png


Problem 20 using picture
 
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