Equation of a Trajectory (AQA A-Level Mathematics): Quizzes

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Equation of a Trajectory
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What shape does the equation of trajectory represent for projectile motion?

Parabola

What is assumed about air resistance in the trajectory equation?

No air resistance

For initial velocity uu at angle θ\theta, what is the horizontal displacement xx?

x=ucos⁡(θ)⋅tx = u \cos(\theta) \cdot t

What is the vertical displacement formula for projectile motion?

y=usin⁡(θ)⋅t−12gt2y = u \sin(\theta) \cdot t - \frac{1}{2} g t^2

Which SUVAT equation is used to derive parametric equations of motion?

s=ut+12at2\mathbf{s} = \mathbf{ut} + \frac{1}{2} \mathbf{a}t^2

What is the form of initial velocity for a horizontal projectile?

(u,0)ms−1(u, 0)ms^{-1}

What is the only force acting on a projectile after it is launched?

Its weight

How is the Cartesian trajectory equation obtained from parametric equations?

By eliminating time tt

What acceleration acts on a projectile in the horizontal direction?

0ms−20ms^{-2}

For a horizontal projectile with u=15ms−1u=15ms^{-1} and t=10st=10s, what is horizontal displacement?

150m150m

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