Question

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.

Answer 1

`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`