Answer:
h = 11.16[m]
Step-by-step explanation:
In order to solve this problem we must use the following kinematics equation:
![v_(f) ^(2)= v_(o) ^(2)-2*g*h\\where:\\v_(f) = final velocity = 0\\ v_(o) = initial velocity = 14.8 [m/s]\\g = gravity = 9.81[m/s^2]\\h = elevation [m]\\\\0 = 14.8^(2)-2*9.81*h\\ h=(219.04)/(2*9.81) \\h=11.16[m]](https://img.qammunity.org/2021/formulas/physics/middle-school/vaeobh042sxl805y3bxbxpeu3k0y14bydv.png)
The key to solving this problem with the above equation is to recognize that the final velocity is zero, at the moment when it reaches maximum height.
Note: the sign of gravitational acceleration is negative because it is acting in the opposite direction to the pellet movement.