Explain the process and equation to get the answer

The shell's horizontal position and vertical position are given by

where is the given speed of 1.70 x 10^4 m/s, and is the acceleration due to gravity (taken here to be 9.80 m/s^2).

To find the horizontal range, you can use the range formula,

with being the angle at which the shell is fired.

Alternatively, we can work backwards and deal with part (b) first:

(b) The time spent in the air is the time it takes for the shell to reach the ground. To find that, you solve for in :

(a) After this time, the shell will have traveled horizontally

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explanation: