Posted by **Anne** on Tuesday, September 9, 2008 at 1:00am.

1) A fish jumps out of the water with a speed of 6.36 m/s. If the fish is in a stream with water speed = to 1.5 m/s, how high can the fish jump if it leaves the water traveling vertically upwards relative to the earth?

2)A ball is thrown by someone on a train moving at 10 m/s on a horizontal track with a path that they judge to be 60 degrees with the horizontal and to be in line with the track. Someone on the ground nearby observes the ball to rise vertically. How high does it rise?

- Physics -
**Damon**, Tuesday, September 9, 2008 at 2:57am
The horizontal velocity component has nothing to do with how high either object goes. Just solve the vertical problems once you find the vertical speed.

a = -g = -9.8 m/s^2

v = Vo - 9.8 t

h = Vo t - 4.9 t^2

at the top, v = 0 so

t = Vo/9.8 at the top

h = (1/2) Vo^2/9.8 = Vo^2/ 19.6

so for problem 1

the horizontal component of speed = 1.5 = 6.36 cos A where A is the angle it leaves the water at.

so A = cos^-1 (1.5/3.6) = 65.4 degrees

so the vertical component of speed is

Vo = 6.36 sin 65.4 = 5.78 m/s

use that to get h

===========================

for problem 2

call the speed of the ball S

the horizontal component of velocity is:

10 = S cos 60

S =20 m/s

so the vertical component of S is

Vo = 20 sin 60 = 17.3 m/s

so the vertical component of S

## Answer This Question

## Related Questions

- physics - A Chinook (King) salmon (Genus Oncorynchus) can jump out of water with...
- physics - A Chinook (King) salmon (Genus Oncorynchus) can jump out of water with...
- Physics - A Chinook (King) salmon (Genus Oncorynchus) can jump out of water ...
- physics - A Chinook salmon has a maximum underwater speed of 3.0 m/s, and can ...
- Physics - The Asian Silver Carp is an invasive species of fish which has ...
- calculus - An angler has a fish at the end of his line, which is being reeled in...
- math - A fisherman has caught a 5kg fish with a line and is lifting it ...
- AP physics - Suppose a Chinook salmon needs to jump a waterfall that is 1.50 m ...
- physics - A bird is flying with a speed of 12.0 m/s over water when it ...
- Physics - A bird is flying with a speed of 18.0 m/s over water when it ...

More Related Questions