# Worksheet: Planar Motion Using Parametric Equations

In this worksheet, we will practice describing motion of a particle along a curve defined by parametric functions.

**Q3: **

A moving particle along a curve is defined by the two equations and . Find the acceleration vector of the particle at .

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**Q5: **

A moving particle is defined by the two equations and . Find the magnitude of the acceleration of the particle at .

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- B193
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- E13

**Q6: **

Given that the position of a moving particle is defined by the parametric equations and , find the speed of the particle at to the nearest tenth.

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**Q7: **

If a particle is moving on a curve defined by the parametric equations and , find the time, to the nearest tenth, at which .

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**Q10: **

Suppose that a particle is moving on a curve defined by the parametric equations and . If the particle is initially at vertical displacement , find the maximum positive vertical displacement from .

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**Q13: **

A particle moves along a curve defined by the parametric equations and . What is the shape of the trajectory of the particle?

- AA parabola
- BA cubic curve
- CAn exponential curve
- DA hyperbola
- EA logarithmic curve

**Q14: **

The acceleration of a particle in a coordinate grid is given by the parametric equations and . At the time , the position of the particle is given by and and the velocity of the particle is given by and . Find the parametric equations which represent the position of the particle at time .

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