Answer:
K=83.84J
Step-by-step explanation:
The kinetic energy is calculated it the formula:
![K=(mv^2)/(2)](https://img.qammunity.org/2021/formulas/physics/high-school/ug12i9e1yneozfa2vnk416cvvvngt2bu58.png)
The velocity at the highest point is only the horizontal component of the velocity (since there the vertical component is null), which is the same through all the trajectory, and is:
![v=v_0cos(\theta)](https://img.qammunity.org/2021/formulas/physics/college/wmy6tsgb0t9gzzw810mf231j55h0pz8f6t.png)
Putting all together:
![K=(mv_0^2cos^2(\theta))/(2)=((0.15kg)(37.2m/s)^2cos^2(26^(\circ)))/(2)=83.84J](https://img.qammunity.org/2021/formulas/physics/college/5u1gelmpf4nqcbbmh6ei9sx9fbl65p499x.png)