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Richard rides a bike on a road sloping downward and inclined at an angle of 30° with the horizontal. If he moves at a constant speed of 10 meters/second, calculate his vertical downward velocity.

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hamzaahmeds

Answer:

[tex]v_y = 5\ m/s[/tex]

Explanation:

The vertical downward component of the speed of the bike can be simply found out by using the following geometric formula:

[tex]v_y = vSin\theta[/tex]

where,

[tex]v_y[/tex] = vertical downward component of speed = ?

v = speed = 10 m/s

θ = angle of slope = 30°

Therefore,

[tex]v_y = (10\ m/s)Sin\ 30^o\\v_y = 5\ m/s[/tex]

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