Final answer:
To find the initial vertical velocity of the shell, multiply the initial speed by the sine of the launch angle.
Step-by-step explanation:
To find the initial vertical velocity of the shell, we need to consider the given initial speed and launch angle. The initial vertical velocity can be determined by multiplying the initial speed by the sine of the launch angle.
In this case, the initial speed of the shell is 1.51 ✕ 10^3 m/s and the launch angle is 34°. Using trigonometric functions, we can calculate:
Initial vertical velocity = 1.51 ✕ 10^3 m/s * sin(34°) = 862.68 m/s.