A barge is heading directly across a river at35km/h while you are walking on the barge at 4km/h in the same direction as the barge is heading. The current is flowing downstream at 1.4km/h.
a) What is your velocity relative to the shore? (7.6km/h)
b) What would you velocity be relative to the shore if you were walking towards the shore you left? (1.5km/h)
Can any please check if the bracket answers are correct!!
a) No of course not. If the barge is going 35km/hr whether you are walking or not, in still water, the relative velocity is 35km/hr
velocity relative to shore is the vector sum
velocity=sqrt((35+4)^2+1.4^2)
To find the velocity relative to the shore, we need to consider the velocities of the barge, your walking speed, and the downstream current.
a) When you are walking in the same direction as the barge, your velocity relative to the shore is the sum of the barge's velocity and your walking speed.
Velocity relative to the shore = Barge velocity + Your walking speed
= 35 km/h + 4 km/h
= 39 km/h
So, your velocity relative to the shore is 39 km/h.
b) If you were walking towards the shore you left, your velocity relative to the shore would be the difference between the barge's velocity and your walking speed.
Velocity relative to the shore = Barge velocity - Your walking speed
= 35 km/h - 4 km/h
= 31 km/h
So, your velocity relative to the shore would be 31 km/h.
The answers in the brackets provided do not match the correct solutions.