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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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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.

User Fernando Souza
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1 Answer

5 votes

Answer:


v_y = 5\ m/s

Step-by-step explanation:

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


v_y = vSin\theta

where,


v_y = vertical downward component of speed = ?

v = speed = 10 m/s

θ = angle of slope = 30°

Therefore,


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

User Indera
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