A cyclist is travelling eastwards at a velocity of 40m/s and rain falling vertically at a speed of 10m/s.find the velocity of
a.rain relative to the cyclist.
b.cyclist relative to the rain.
Answers
answer : (a) -40i + 10j (b) 40i - 10j
given, Velocity of cyclist , v_c = 40 i m/s [ eastward ]
velocity of rain, v_r = 10 j m/s [ downward ]
we have to find
velocity of rain relative to the cyclist
and velocity of cyclist relative to the rain.
relative velocity of rain with respect to cyclist, V_rc = v_r - v_c
= 10j - 40i
= (-40i + 10j) m/s
means, velocity of rain relative to the cyclist is (-40i + 10j) m/s
similarly, relative velocity of cyclist with respect to rain, V_cr = v_c - v_r
= 40i - 10j
means, velocity of cyclist relative to rain is (40i - 10j) m/s
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given, Velocity of cyclist , v_c = 40 i m/s [ eastward ]
velocity of rain, v_r = 10 j m/s [ downward ]
we have to find
velocity of rain relative to the cyclist
and velocity of cyclist relative to the rain.
relative velocity of rain with respect to cyclist, V_rc = v_r - v_c
= 10j - 40i
= (-40i + 10j) m/s
means, velocity of rain relative to the cyclist is (-40i + 10j) m/s
similarly, relative velocity of cyclist with respect to rain, V_cr = v_c - v_r
= 40i - 10j
means, velocity of cyclist relative to rain is (40i - 10j) m/s