Horizontal & Vertical Components (Edexcel A-Level Mathematics): Quizzes

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Horizontal & Vertical Components
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What axis is the horizontal component of a vector parallel to?

The xx-axis

What axis is the vertical component of a vector parallel to?

The yy-axis

What is the formula for the horizontal component vxv_x of a vector with magnitude vv at angle θ\theta?

vx=vcos⁡θv_x = v \cos \theta

What is the formula for the vertical component vyv_y of a vector with magnitude vv at angle θ\theta?

vy=vsin⁡θv_y = v \sin \theta

Which trigonometric functions relate the angle to the sides of a right-angled triangle?

Cosine and sine

In projectile motion with no air resistance, what happens to the horizontal component of velocity?

It remains constant

What affects the vertical component of velocity in projectile motion?

Gravity

What is the value of gravitational acceleration gg used in vertical motion analysis?

9.81 m/s² downward

What is the formula for horizontal displacement in projectile motion?

x=vx⋅tx = v_x \cdot t

Are horizontal and vertical motion components independent of each other in projectile motion?

Yes, linked only by time of flight

A ball thrown at 20 m/s and 30° has what horizontal component? (Use cos⁡30°=32\cos 30° = \frac{\sqrt{3}}{2})

17.32 m/s

A ball thrown at 20 m/s and 30° has what vertical component? (Use sin⁡30°=12\sin 30° = \frac{1}{2})

10 m/s

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