Answer:
The frisky otters will be moving at the same speed at the bottom of the hill because the hillsides are of the same height
Explanation:
From the question we are told that
The slope of the hill of otter one is [tex]\theta_1 = 30^o[/tex]
The slope of the hill of otter two is [tex]\theta _2 = 60^o[/tex]
Generally the from the law of energy conservation
[tex]PE_{top} = KE_{bottom}[/tex]
Here [tex]PE_{top} = mgh[/tex]
and [tex]KE_{bottom} = \frac{1}{2} mv^2[/tex]
So
[tex]mgh = \frac{1}{2} m v^2[/tex]
=> [tex]v = \sqrt{2gh}[/tex]
From this equation for v we see that velocity is only dependent on the height and is not affected by the slope
Hence both frisky otters will travel at same speed because the hillsides are of the same height
