Horizontal and Vertical Velocity of a Truck on a 10 Degree Incline

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SUMMARY

The discussion focuses on the horizontal and vertical components of a truck's velocity while traveling up a 10-degree incline at a constant speed of 30 m/s. The horizontal component of the truck's velocity is confirmed to be 30 m/s, as it maintains this speed along the incline. The vertical component is calculated using trigonometric functions, yielding approximately 5.21 m/s, indicating the truck's upward movement while ascending the incline.

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A truck travels up a hill at a 10 degrees incline with constant speed of 30 m/s

What is horizontal component of the truck's velocity? What is vertical component of the truck's velocity?
 
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[tex]30 sin 10[/tex] equals vertical
[tex]30 cos 10[/tex] equals horizontal
 


The horizontal component of the truck's velocity would be 30 m/s, as it is moving at a constant speed along the incline. The vertical component of the truck's velocity can be calculated using trigonometric functions, specifically the sine and cosine of the incline angle. Since the incline is at a 10 degree angle, the vertical component would be 30 m/s multiplied by the sine of 10 degrees, which is approximately 5.21 m/s. This means that the truck is also moving upward at a rate of 5.21 m/s while traveling at a constant speed of 30 m/s along the incline.
 

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