Motion on a Plane (HSC SSCE Physics): Quizzes

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Analysing Vectors in One and Two Dimensions
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What two properties must a quantity have to be classified as a vector?

Magnitude and direction

Which of the following is an example of a vector quantity?

Force

If A⃗\vec{A} represents a vector, what does AA represent?

The magnitude of the vector

What happens to direction when a vector is divided by a scalar quantity?

Direction is preserved

For a vector at angle θ\theta from x-axis, which formula gives the x-component?

sx=scos⁡θs_x = s\cos\theta

For a vector at angle θ\theta from x-axis, which formula gives the y-component?

sy=ssin⁡θs_y = s\sin\theta

Given components sxs_x and sys_y, how do you find the magnitude ss?

s=sx2+sy2s = \sqrt{s_x^2 + s_y^2}

Which formula finds the direction angle θ\theta from components sxs_x and sys_y?

tan⁡θ=sysx\tan\theta = \frac{s_y}{s_x}

What is the key requirement for axes when resolving vectors?

They must be perpendicular to each other

A car drives 125 km north then 125 km west. What is the magnitude of resultant displacement?

177 km

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