Describing Motion Using Vectors (HSC SSCE Physics): Quizzes

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Describing Motion Using Vectors
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What two pieces of information must be specified to fully describe velocity in 2D?

Magnitude and direction

Why are perpendicular axes essential for analysing 2D motion?

They separate motion into independent parts

If vx=8 m⋅s−1v_x = 8 \, \text{m} \cdot \text{s}^{-1} and vy=6 m⋅s−1v_y = 6 \, \text{m} \cdot \text{s}^{-1}, what is vv?

10 m⋅s−110 \, \text{m} \cdot \text{s}^{-1}

What formula calculates the x-component of velocity from magnitude vv and angle θ\theta?

vx=vcos⁡θv_x = v\cos\theta

If vy=4 m⋅s−1v_y = 4 \, \text{m} \cdot \text{s}^{-1} and vx=4 m⋅s−1v_x = 4 \, \text{m} \cdot \text{s}^{-1}, what is θ\theta?

45°45°

Why can't velocity and displacement be added together directly?

They have incompatible units

Two perpendicular velocities are 3 m⋅s−13 \, \text{m} \cdot \text{s}^{-1} and 4 m⋅s−14 \, \text{m} \cdot \text{s}^{-1}. What is the resultant?

5 m⋅s−15 \, \text{m} \cdot \text{s}^{-1}

What is the first step when adding non-perpendicular velocities?

Resolve each velocity into components

What is the formula for change in velocity?

Δv⃗=v⃗f−v⃗i\Delta\vec{v} = \vec{v}_f - \vec{v}_i

Can velocity change while speed remains constant?

Yes, if direction changes

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