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Sagot :
The energy to the position is known as potential energy. The maximum potential energy is in case 2. Hence the maximum height will be in case 2.
What is kinetic energy?
The energy of the body by the virtue of its motion is known as the kinetic energy of the body. It is defined as the product of half of mass and square of the velocity.
According to the law of conservation of energy, the total energy is defined as the sum of kinetic energy and potential energy.
Mechanical energy = kinetic energy+potential energy
Potential Energy = Mechanical Energy - Kinetic Energy
As a result, if an object has greater potential energy, it will have a higher height.
The formula for the kinetic energy is given by;
The potential energy for the different cases will be;
Case-1;
[tex]\rm KE_1=\frac{1}{2}mv^2 \\\\ \rm KE_1=\frac{1}{2}\times2.4(7)^2 \\\\ \rm KE_1=58.8 J[/tex]
[tex]\rm PE_1 = 32 - 58.8 = -26.8 J[/tex]
Case-2;
[tex]\rm KE_2=\frac{1}{2}mv^2 \\\\ \rm KE_2=\frac{1}{2}\times2.4(2)^2 \\\\ \rm KE_2=4.8 J[/tex]
[tex]\rm PE_2 = 34 - 4.8 = 29.2 J[/tex]
Case-3;
[tex]\rm KE_3=\frac{1}{2}mv^2 \\\\ \rm KE_3=\frac{1}{2}\times2.4(6)^2 \\\\ \rm KE_2=43.2 J[/tex]
[tex]\rm PE = 35 - 43.2 = -8.2 J[/tex]
Case-4;
[tex]\rm KE_3=\frac{1}{2}mv^2 \\\\ \rm KE_3=\frac{1}{2}\times2.4(3)^2 \\\\ \rm KE_2=10.8 J[/tex]
[tex]\rm PE_2 = 31 - 10.8 = 20.2 J[/tex]
The maximum potential energy is in case 2. Hence the maximum height will be in case 2.
To learn more about kinetic energy refer to the link;
https://brainly.com/question/999862
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