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Answer:
1 second
Explanation:
h = −16t² + 32t
When, h = 16
16 = −16t² + 32t
Divide each of the numbers by 16
1 = -1t² + 2t
Rearrange the equation
1t²-2t+1 = 0
Solving by the quadratic formula, we get

So, time taken by the dolphin to jump out of the water and touch the trainer's hand is 1 second.
The properties of mechanical waves are : ( C and D )
- The three categories of mechanical waves are transverse, longitudinal,surface waves ( C )
- Waves transport energy,but not matter ( D )
<h3>What are mechanical waves ?</h3>
Mechanical waves are a category of waves which cannot transmit energy through a vacuum, i.e. they require a medium to transmit their energy from one end to another. An example of a mechanical wave is : sound wave. Mechanical waves are grouped into transverse, longitudinal and surface waves.
Hence we can conclude that The properties of mechanical waves are : The three categories of mechanical waves are transverse, longitudinal,surface waves and Waves transport energy,but not matter
Learn more about mechanical waves : brainly.com/question/26116832
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Answer:
A(3.56m)
Explanation:
We have a conservation of energy problem here as well. Potential energy is being converted into linear kinetic energy and rotational kinetic energy.
We are given ω= 4.27rad/s, so v = ωr, which is 6.832 m/s. Place your coordinate system at top of the hill so E initial is 0.
Ef= Ug+Klin+Krot= -mgh+1/2mv^2+1/2Iω^2
Since it is a solid uniform disk I= 1/2MR^2, so Krot will be 1/4Mv^2(r^2ω^2= v^2).
Ef= -mgh+3/4mv^2
Since Ef=Ei=0
Mgh=3/4mv^2
gh=3/4v^2
h=0.75v^2/g
plug in givens to get h= 3.57m