Projectiles (Leaving Cert Physics): Flashcards

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Projectiles
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Path followed by projectiles

Curved path (parabolic) under gravity alone

Independence principle (projectile motion)

Horizontal & vertical motions are completely independent

Horizontal velocity characteristic

Remains constant (no horizontal forces)

Value of gg

9.8 m s−29.8 \text{ m s}^{-2} downward

Formula for horizontal component uxu_x

ux=ucos⁡θu_x = u \cos θ

Formula for vertical component uyu_y

uy=usin⁡θu_y = u \sin θ

Vertical velocity at peak

Zero (horizontal velocity stays constant)

Horizontal acceleration value

00 (no horizontal forces)

Vertical acceleration in projectile motion

−9.8 m s−2-9.8 \text{ m s}^{-2} (negative means downward)

Time of flight formula

t=2uygt = \frac{2u_y}{g}

Maximum height formula

hmax=uy22gh_{max} = \frac{u_y^2}{2g}

Horizontal distance equation

sx=uxts_x = u_x t

Horizontal range formula

R=ux×2uygR = u_x \times \frac{2u_y}{g}

Resultant velocity magnitude

v=vx2+vy2v = \sqrt{v_x^2 + v_y^2}

Trajectory shape

Parabolic

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