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Answer:
The horizontal and vertical distances are x = 210 m and y = -240.35 m, respectively.
Explanation:
Using the equation of the displacement in the x-direction, we have:
(let's recall we have a constant velocity in this direction)
Where:
- v(ix) is the initil velocity in the x direction (v(ix) = 30 m/s)
- t is the time (t = 7 s)
Now, we need to use the equation of the displacement in the y-direction to find the vertical distance. Here we have an acceleration (g)
Where:
- v(iy) is the initial velocity at the y-direction. In this case, it will be 0
- t is the time
- g is the acceleration of gravity (g=9.81 m/s²)
Then, the vertical position at 7 s is:
Therefore, the horizontal and vertical distances are x = 210 m and y = -240.35 m, respectively. The minus sign means the <u>negative value in the y-direction.</u>
I hope it helps you!