Time Of Flight Projectile Motion — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Time of Flight (Projectile Motion) Valid only when the launch height and landing height are identical (symmetric trajectory) and air resistance is negligible. Start with the vertical equation of motion: y(t) = v 0y t - 0.5gt 2 Set final vertical position y(T) = 0 (assuming launch from y=0) Substitute vertical velocity component: v 0y = v 0 sin(theta) Solve 0 = v 0 sin(theta)T - 0.5gT 2 for T Factor out T: T(v 0 sin(theta) - 0.5gT) = 0 Discard T=0 (launch time) to find T = 2v 0 sin(theta) / g g > 0 v 0 >= 0 0 <= theta <= pi/2 Believing mass affects time of flight (kinematics is independent of mass). Using the formula for asymmetric trajectories (landing higher or lower than launch). Confusing the peak time (half of total time) with total time of flight.