# At the time of the start of observation, the aircraft was at a point with coordinates X0 = 0, Y0 = 400m

March 31, 2021 | education

| **At the time of the start of observation, the aircraft was at a point with coordinates X0 = 0, Y0 = 400m and was moving uniformly and rectilinearly in the vertical plane XOY at a speed of V = 100 m / s at an angle of α = 300 to the horizon. Write the equations x (t) and y (t) and the trajectory equation y = ¦ (x).**

The equation for the change in the x coordinate depending on the time t:

x (t) = X0 + Vt * cosα = 0 + 100 * t * cos30 ° = 86.6t.

The equation for the change in the y coordinate depending on the time t:

y (t) = Y0 + Vt * sinα = 400 + 100 * t * sin30 ° = 400 + 50t.

Trajectory equation:

y (x) = Y0 + x * tgα = 400 + x * tg30 ° = 400 + 0.577x.

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