Alice will arrive at the other side first
Further explanation
Acceleration is rate of change of velocity.
[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]
[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]
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 [tex]v[/tex]
velocity of water flow is [tex]v_{stream}[/tex]
[tex]t_{alice} = \frac{displacement}{velocity}[/tex]
[tex]t_{alice} = \frac{d}{v}[/tex]
[tex]t_{Bianca} = \frac{displacement}{velocity}[/tex]
[tex]t_{Bianca} = \frac{d}{\sqrt{v^2 - v_{stream}^2}}[/tex]
[tex]v > \sqrt{v^2 - (v_{stream})^2} \rightarrow t_{Bianca} > t_{Alice}[/tex]
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
