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EEJ MAIN Physics QUESTION #7089
Question 1
A projectile is launched with velocity $(\hat{i}+2\hat{j})\text{ m/s}$. Using $g=10\text{ m/s}^2$, find the trajectory equation.
  • $y=x-5x^{2}$
  • $y=2x-5x^{2}$✔️
  • $4y=2x-5x^{2}$
  • $4y=2x-25x^{2}$
Correct Answer Explanation

From the velocity vector: $u_x = 1$ and $u_y = 2$.

  • $x = u_x t \implies t = x$
  • $y = u_y t - \frac{1}{2}gt^2$
  • Substitute $t = x$: $y = 2x - \frac{1}{2}(10)x^2 = 2x - 5x^2$.