The Trajectory of a Projectile (HSC SSCE Physics): Flashcards

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The Trajectory of a Projectile
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Trajectory shape (no air resistance)

Parabolic

Max height condition for projectile

When vertical velocity = 0

Factors determining max height

Only uyu_y and launch height y0y_0

Max height formula with launch height

h=y0uy22gh = y_0 - \frac{u_y^2}{2g}

Time of flight (symmetric trajectory)

tflight=2uygt_{\text{flight}} = -\frac{2u_y}{g}

Horizontal velocity during flight

Remains constant throughout

Horizontal range formula

xmax=uxtflightx_{\text{max}} = u_x t_{\text{flight}}

Launch angle for max range

45°

Time of flight definition

Total time from launch to ground landing

Horizontal range definition

Total horizontal distance projectile travels

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