How can you accurately hit a trash bin while biking with an apple core?

[RUber]

Yes, if you look at the diagram as at is in the problem...origin is the bike, x to the right, y -up. The Vi forward component is equal 8,73...no?

No. 8.73m/sec was the total magnitude of the initial velocity. Each component, accordingly would be less than that.

 

[RUber]

If we look at the situation as flat diagram, vi(flying apple) is 8,73. Vb is 5,6. Given that relative velocity = v object (Apple)-v observer(me on the bike). I find angles irrelative.

Without angles, how do you properly add the vectors?

The bike is not traveling in the same direction as the apple, so subtraction of magnitudes does not work.

 

[coffeemanja]

Without angles, how do you properly add the vectors?

The bike is not traveling in the same direction as the apple, so subtraction of magnitudes does not work.

For Vi= xi+yj

 

[coffeemanja]

For Vi= xi+yj

Vi=Vxi+Vyi

 

[RUber]

Vi=Vxi+Vyi

What about Vzi?

 

[coffeemanja]

What about Vzi?

I am looking at situation schematicly(flat). All vectors then have only two components.

 

[coffeemanja]

If I'm on the bike, I do not see the Vzi. Apple just moves away. I do not know what to do anymore.

 

[RUber]

Okay. Then you need to flatten the initial velocity vector, which has 3 dimensions. You can do this by multiplying by the cosine of the elevation angle.

 

[coffeemanja]

Okay. Then you need to flatten the initial velocity vector, which has 3 dimensions. You can do this by multiplying by the cosine of the elevation angle.

Then I get 8,2. 8,2-5,6=2,6 is then relative velocity.

 

[RUber]

No. The bike is not moving in the direction of the trash can.
The bike is moving forward.
The forward velocity is 4/5 of the flat velocity.

 

[coffeemanja]

No. The bike is not moving in the direction of the trash can.
The bike is moving forward.
The forward velocity is 4/5 of the flat velocity.

I will look at it tomorrow with fresh eyes. Do not want to bother you anymore here. Thank you.

 

[coffeemanja]

No. The bike is not moving in the direction of the trash can.
The bike is moving forward.
The forward velocity is 4/5 of the flat velocity.

RUber, be proud. You are great! I got it, was too tired to understand.

 

[RUber]

RUber, be proud. You are great! I got it, was too tired to understand.

Thanks. Glad it made more sense after some sleep.