Deriving Projectile Formulae (Edexcel A-Level Mathematics): Quizzes

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Deriving Projectile Formulae
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What value is used for acceleration due to gravity gg in projectile motion?

9.8 m/s29.8 \, m/s^2

What is the horizontal acceleration axa_x in projectile motion?

00

What is the horizontal component of initial velocity uu at angle θ\theta?

ucos⁡θu \cos \theta

What is the vertical component of initial velocity uu at angle θ\theta?

usin⁡θu \sin \theta

How does horizontal velocity behave during projectile motion?

Remains constant

What is the formula for horizontal displacement xx at time tt?

x=(ucos⁡θ)tx = (u \cos \theta) t

What is the vertical acceleration aya_y in projectile motion?

−g-g

What is the vertical velocity vyv_y at time tt?

usin⁡θ−gtu \sin \theta - gt

What is the vertical displacement yy at time tt?

usin⁡θ⋅t−12gt2u \sin \theta \cdot t - \frac{1}{2}gt^2

What is the formula for time of flight TT?

2usin⁡θg\frac{2u \sin \theta}{g}

What is the formula for maximum height HH?

(usin⁡θ)22g\frac{(u \sin \theta)^2}{2g}

What is the formula for range RR?

u2sin⁡2θg\frac{u^2 \sin 2\theta}{g}

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