The answer is that it is true
To know what is it. and i think that the reason behind your question is that PHYSICS IS DAMM HARD
Three time the energy was needed than in case one.
What is energy?
In physics, energy is the quantifiable property that is transmitted to a body or a physical system and is visible in the form of heat and light. The law of conservation of energy states that energy can be converted in form but cannot be created or destroyed.
Case 1:
Vo = 0 m/s
V1 = 15 m/s
Case 2:
Vo = 15 m/s
V1 = 30 m/s
Change in KE = 1/2 × m × (V1^2 - Vo^2)
KE1 = 1/2 × 1000 × (15^2 - 0)
= 112.5 kJ
KE2 = 1/2 × 1000 × (30^2 - 15^2)
= 1/2 × 1000 × 675
= 337.5kJ
Case 1 has an increase of 112.5 kJ energy while Case 2 has an increase of 337.5kJ.
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Hello there!
Your question can be answered using the
Newton's Secon Law of Motion:
This Law says that the forces on an object are equal to the product of its mass (m) and acceleration (a):

If we clear this equation for acceleration, we'll see that:

So, studying this equation, we'll see that acceleration is inversely proportional to mass, thus, assuming that the force remains constant,
doubling the mass will decrease the acceleration of the object by half.