Answer:
The new kinetic energy is 9 times of the initial kinetic energy.
Step-by-step explanation:
The kinetic energy of an object is given by the formula as follows :
![E=(1)/(2)mv^2](https://img.qammunity.org/2021/formulas/physics/high-school/2gzs2c11aqkuofmc8qdr1qjqc9xb6774bn.png)
Where
m is mass and v is speed of the body
If the speed of the body is tripled. Let v' is the new speed, v' = 3v. The new kinetic energy is E' and it is given by :
![E'=(1)/(2)mv'^2\\\\\text{Put v' = 3v}\\\\E'=(1)/(2)m* (3v)^2\\\\=(1)/(2)m* 9v^2\\\\=9* ((1)/(2)mv^2)\\\\E'=9* E](https://img.qammunity.org/2021/formulas/physics/high-school/41t0ipydvjfd5dqh6o0io7g64l5zkeut4o.png)
Hence, the new kinetic energy is 9 times of the initial kinetic energy.