One light-year is the distance light travels in one year. This distance is equal to 9.461 1015 m. After the sun, the star neares
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The x- and y-coordinates are 9142.57 m and -304.425 m
<u>Explanation:</u>
As the motion of the shell is in a plane (two dimensional space) and the acceleration is that due to gravity which is vertically downward, we resolve initial velocity of the shell in horizontal and vertical directions. If the initial velocity of the shell is making angle with the horizontal, the horizontal component of initial velocity will be
As the acceleration of the shell is vertical having no horizontal component, the shell may be considered to move horizontally with constant velocity of and hence the horizontal distance covered (or the x coordinate of the shell with point of projection as origin) is given by
For motion with constant acceleration, we know
Along the horizontal, x-axis, we might write this as
Measuring distances relative to the firing point means
we know that,
or,
By applying the values, we get,
The acceleration of gravity is vertically downward and is , hence the vertical distance covered (or y coordinate of the shell) is given by the second equation of motion
we know, and
, so,
y = 11701.8 - 4.9(2450.25)= 11701.8 - 12006.225 = - 304.425 m