The initial vertical component of the velocity is 15.3 m/s and the angle of the water is 55 degrees. what is the magnitude of the vector? the answer is 18.7 m/s but how did they get

The vertical component of velocity is given by

V = Vy x Sin (Theta)

15.3 m/s = Vy x Sin (55 degrees)

Vy = 15.3 m/s/Sin (55 degrees)

= 15.3 m/s/0.819

= 18.681 m/s

18.7 m/s

Explanation:

1. Use the equation V = Vy x Sin(Theta) then plug in your numbers.

15.3 m/s = Vy x Sin(55 degrees)

2. then switch em up so we can have the Vy isolated and the 15.3 m/s as part of the equation.

3. Now that multiplication sign turns to a division sign.

Vy = 15.3 m/s / Sin(55 degrees)

4. and if you plug it in you get your answer after rounding it

Vy = 18.7

the force on the thing and the distance the force moves the thing

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min