Two rowers, who can row at the same speed in still water, head across a river.

The first rower (Alice) heads straight across (but of course her boat is pulled downstream by the current).

The second rower (Bianca) heads slightly upstream, so that with the pull of the current she arrives directly opposite their starting point.

Who arrives at the other side first?

AAlice
BBianca
CIt's impossible to tell without more information.

I am pretty sure that Alice arrives at the other side first.

I choose this option as a correct one because its velocity vector is moveng straight through the stream which make clear that Alice moves liek that V m/s. and which is EAST.
Hope you will agree with me. Regards!

Answer Link

johanrusli johanrusli · Answer 2 · 2019-08-30T22:22:18-04:00

Alice will arrive at the other side first

Further explanation

Acceleration is rate of change of velocity.

\(\large {\boxed {a = \frac{v - u}{t} } }\)

\(\large {\boxed {d = \frac{v + u}{2}~t } }\)

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem !

Let's illustrate the situation of these two people as shown in the picture.

Let :

velocity of these two rowers is \(v\)

velocity of water flow is \(v_{stream}\)

\(t_{alice} = \frac{displacement}{velocity}\)

\(t_{alice} = \frac{d}{v}\)

\(t_{Bianca} = \frac{displacement}{velocity}\)

\(t_{Bianca} = \frac{d}{\sqrt{v^2 - v_{stream}^2}}\)

\(v > \sqrt{v^2 - (v_{stream})^2} \rightarrow t_{Bianca} > t_{Alice}\)

Conclusion:

Alice will arrive at the other side first because Bianca needs more time to get to the destination than Alice

Learn more

Velocity of Runner : https://brainly.com/question/3813437
Kinetic Energy : https://brainly.com/question/692781
Acceleration : https://brainly.com/question/2283922
The Speed of Car : https://brainly.com/question/568302

Answer details

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate, Stream , Vector