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

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

A parabola

Which assumption is made in the equation of trajectory for projectile motion?

No air resistance

What is the horizontal displacement formula for initial velocity uu at angle θ\theta?

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

In the vertical displacement formula y=usin⁡(θ)⋅t−12gt2y = u \sin(\theta) \cdot t - \frac{1}{2} g t^2, what does gg represent?

Acceleration due to gravity

How is the Cartesian trajectory equation obtained from parametric equations?

By eliminating time tt

Which SUVAT equation is used to get 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 with speed uu?

(u,0)(u, 0) m/s

What is the only force acting on a horizontal projectile after projection?

Its weight

For projection at 60°60° with 4040 m/s, what is cos⁡(60°)\cos(60°) used to calculate?

Horizontal component of velocity

A particle projected horizontally at 1515 m/s hits ground after 1010 s. What is the height?

490490 m

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Kinematics Graphs

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Constant Acceleration - 2D

Projectiles

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Constant Acceleration - 2D

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Constant Acceleration - 2D

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Constant Acceleration - 2D

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