Motion in a Plane

Question 1

What is the general form of distance covered in the y-direction?

Answer 1

usinθ - gt^2

Question 2

What remains constant in the x-direction?

Answer 2

Velocity remains constant, as there is no acceleration on the horizontal direction

Question 3

Minimum distance condition for river-boat problems

Answer 3

For minimum distance, drift=0=Horizontal distance
Hence the horizontal component of the velocity of the swimmer should be equal to the river flow

Question 4

Minimum time required to cross the river condition

Answer 4

The vertical component(ucosθ) of the swimmer’s velocity should be maximum, hence the swimmer should swim perpendicular to the river flow.