Answer:
h = 11.16[m]
Explanation:
In order to solve this problem we must use the following kinematics equation:
[tex]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=\frac{219.04}{2*9.81} \\h=11.16[m][/tex]
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.
