Describing Motion Using Vectors (HSC SSCE Physics): Flashcards

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Describing Motion Using Vectors
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How to find velocity

Divide displacement by time

Type of quantity velocity is

Vector quantity

Velocity vector in components

v=vx+vy\vec{v} = \vec{v}_x + \vec{v}_y

Magnitude from perpendicular components

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

x-component of velocity at angle θ\theta

vx=vcosθv_x = v\cos\theta

y-component of velocity at angle θ\theta

vy=vsinθv_y = v\sin\theta

Angle from velocity components

tanθ=vyvx\tan\theta = \frac{v_y}{v_x}

Formula for change in velocity

Δv=vfvi\Delta\vec{v} = \vec{v}_f - \vec{v}_i

Average acceleration formula

a=Δvt\vec{a} = \frac{\Delta\vec{v}}{t}

Can velocity and displacement be added?

No, they have different units

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