What were Jack and Jill's velocities on the hill?

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In summary, Jack and Jill's velocities were given and we need to find the angle of the hill and the vertical component of Jill's velocity. We can use trigonometry to find these values by drawing a triangle and using the given velocities as sides. Alternatively, we can get a good estimate from the drawing itself.
  • #1
gbedenba
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Homework Statement


Jack and Jill ran up the hill at 3.6 m/s. The horizontal component of Jill's velocity vector was 2.3 m/s.

(a) What was the angle of the hill?


(b) What was the vertical component of Jill's velocity?


Homework Equations



?


The Attempt at a Solution


I don't know where to start
 
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  • #2
Think of a triangle.
Jill has moved horizontally at 2.3m/s so draw a horizontal line 2.3 units long
she moves up the slope at 3.6m/s so draw the slope of the triangle 3.6 units long.

Then all you need to find is the angle and the length of the third side.
You can use trig for this, but you can get a good estimate from your drawing.
 
  • #3
thanks! that helped a lot!
 

FAQ: What were Jack and Jill's velocities on the hill?

What is the meaning behind the nursery rhyme "Jack and Jill ran up the hill"?

The meaning behind this nursery rhyme is often debated, but it is believed to be a cautionary tale warning against the dangers of curiosity and disobedience. It may also be a reference to the rise and fall of King Louis XVI and Marie Antoinette during the French Revolution.

Who are Jack and Jill in the nursery rhyme?

Jack and Jill are two characters in the nursery rhyme, and their identities vary depending on the interpretation. Some believe they represent King Louis XVI and Marie Antoinette, while others believe they are simply two mischievous children.

Why do Jack and Jill go up the hill?

The reason for Jack and Jill's journey up the hill is not explicitly stated in the nursery rhyme. Some believe they were on a quest for water, while others think they were simply playing a game. The lack of context in the rhyme leaves the reason open to interpretation.

What happens to Jack and Jill at the end of the nursery rhyme?

The nursery rhyme ends with the line "Jack fell down and broke his crown, And Jill came tumbling after." This suggests that both Jack and Jill suffer a fall, but it is unclear what happens to them after that. Some believe they get up and continue their journey, while others believe the fall was fatal.

Is there any historical significance to the nursery rhyme "Jack and Jill ran up the hill"?

There are various theories about the historical significance of this nursery rhyme, but there is no concrete evidence to support any of them. Some believe it may be a reference to the French Revolution or a medieval tax on liquor, but these are just speculations and cannot be confirmed.

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