A ball is kicked at 20m/s at an angle of 30° above the ground. What is the horizontal and vertical velocity?
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A ball is kicked at 20m/s at an angle of 30° above the ground. What is the horizontal and vertical velocity?
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The horizontal velocity is 17.32 m/s and the vertical velocity is 10 m/s.
To calculate the horizontal velocity, we can use the following formula:
Code snippet
v_x = u_x * cos(theta)
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Where:
In this case, we have:
Code snippet
v_x = 20 m/s * cos(30°)
= 17.32 m/s
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To calculate the vertical velocity, we can use the following formula:
Code snippet
v_y = u_y * sin(theta) + g * t
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Where:
In this case, we have:
Code snippet
v_y = 20 m/s * sin(30°) + 9.8 m/s^2 * t
= 10 m/s
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The time of flight can be calculated using the following formula:
Code snippet
t = 2 * v_y / g
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In this case, we have:
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t = 2 * 10 m/s / 9.8 m/s^2
= 2.04 s
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Therefore, the horizontal velocity of the ball is 17.32 m/s and the vertical velocity is 10 m/s.
The horizontal velocity is 17.32 m/s and the vertical velocity is 10 m/s.
To calculate the horizontal velocity, we can use the following formula:
Code snippet
v_x = u_x * cos(theta)
Use code with caution. Learn more
content_copy
Where:
In this case, we have:
Code snippet
v_x = 20 m/s * cos(30°)
= 17.32 m/s
Use code with caution. Learn more
content_copy
To calculate the vertical velocity, we can use the following formula:
Code snippet
v_y = u_y * sin(theta) + g * t
Use code with caution. Learn more
content_copy
Where:
In this case, we have:
Code snippet
v_y = 20 m/s * sin(30°) + 9.8 m/s^2 * t
= 10 m/s
Use code with caution. Learn more
content_copy
The time of flight can be calculated using the following formula:
Code snippet
t = 2 * v_y / g
Use code with caution. Learn more
content_copy
In this case, we have:
Code snippet
t = 2 * 10 m/s / 9.8 m/s^2
= 2.04 s
Use code with caution. Learn more
content_copy
Therefore, the horizontal velocity of the ball is 17.32 m/s and the vertical velocity is 10 m/s.