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

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Jack and Jill's velocities while running up the hill are given as 3.6 m/s for Jack and a horizontal component of 2.3 m/s for Jill. To find the angle of the hill, a triangle can be constructed with the horizontal and slope components. The vertical component of Jill's velocity can be determined using trigonometric functions based on this triangle. The discussion emphasizes using a visual representation to aid in estimating the angle and the third side of the triangle. This approach effectively assists in solving the problem.
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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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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.
 
thanks! that helped a lot!
 
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