Variable Acceleration - 2D (Edexcel A-Level Mathematics): Quizzes

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Using Calculus in 2D
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When can SUVAT equations NOT be used in kinematics?

When acceleration is non-constant

Which formula relates velocity v\mathbf{v} to position s\mathbf{s}?

v=dsdt\mathbf{v} = \frac{d\mathbf{s}}{dt}

How do you find acceleration a\mathbf{a} from velocity v\mathbf{v}?

a=dvdt\mathbf{a} = \frac{d\mathbf{v}}{dt}

Which formula gives position s\mathbf{s} from velocity v\mathbf{v}?

s=∫v dt\mathbf{s} = \int \mathbf{v} \, dt

If r=(3t−4)i+(t3−4t)j\mathbf{r} = (3t-4)\mathbf{i} + (t^3-4t)\mathbf{j}, what is drdt\frac{d\mathbf{r}}{dt}?

3i+(3t2−4)j3\mathbf{i} + (3t^2-4)\mathbf{j}

If v=3i+(3t2−4)j\mathbf{v} = 3\mathbf{i} + (3t^2-4)\mathbf{j}, what is the acceleration?

6tj6t\mathbf{j}

If mass is 3 grams, what value is used in F=ma\mathbf{F} = m\mathbf{a}?

0.0030.003 kg

If a=(8i+2j)\mathbf{a} = (8\mathbf{i}+2\mathbf{j}) m s−2^{-2} and m=0.003m=0.003 kg, find F\mathbf{F}.

(0.024i+0.006j)(0.024\mathbf{i}+0.006\mathbf{j}) N

When is velocity parallel to vector i\mathbf{i}?

When j-component of v\mathbf{v} is 0

If s=(−12,5)\mathbf{s} = (-12,5), what is the distance from origin O?

13 m

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