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.

Verified Answer :

5 m/s, use the sin(30)*10, that gets the vertical component in this case

Answer:

His vertical downward velocity is 5 m/s.

Explanation:

Given that,

Angle = 30°

Speed = 10 m/s

Velocity is the vector quantity which have magnitude and direction. It is defined the motion of the object.

We need to calculate his vertical downward velocity

According to figure,

\(v_{y}=v\sin\theta\)

\(v_{y}=10\times\sin30^{\circ}\)

\(v_{y}=10\times\dfrac{1}{2}\)

\(v_{y}=5\ m/s\)

Hence, His vertical downward velocity is 5 m/s.

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