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

In summary, the conversation discussed a problem involving throwing an apple at a trash bin while traveling on a bike at a constant speed. The problem considered factors such as the angle of throw, initial velocity, and the height of the bin. The solution involved using the range equation and considering velocities relative to the Earth and the bike. The final answer was 8.73 m/s.
  • #36
coffeemanja said:
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.
 
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  • #37
coffeemanja said:
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.
 
  • #38
RUber said:
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
 
  • #39
coffeemanja said:
For Vi= xi+yj
Vi=Vxi+Vyi
 
  • #40
coffeemanja said:
Vi=Vxi+Vyi
What about Vzi?
 
  • #41
RUber said:
What about Vzi?
I am looking at situation schematicly(flat). All vectors then have only two components.
 
  • #42
If I'm on the bike, I do not see the Vzi. Apple just moves away. I do not know what to do anymore.
 
  • #43
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.
 
  • #44
RUber said:
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.
 
  • #45
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.
 
  • #46
RUber said:
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.
 
  • #47
RUber said:
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.
 
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  • #48
coffeemanja said:
RUber, be proud. You are great! I got it, was too tired to understand.
Thanks. Glad it made more sense after some sleep.
 
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