A vertically projected particle passes the same point P at times t₁ and t₂. Which statements are correct?
Select all that apply

Question

A vertically projected particle passes the same point P at times t₁ and t₂. Which statements are correct?

G1 Physics · Accepted Answer

The position-time curve is a parabola. The two crossings of the same height are symmetric about the highest point. Therefore: time at highest point = (t₁+t₂)/2. The two velocities are equal in magnitude and opposite in sign. Time from P to the top is (t₂−t₁)/2, so the height above P is g(t₂−t₁)²/8. Since initial and final positions over the interval are the same, average velocity is zero. Hence all four statements are correct.