Specialist2024 Exam 2 Section A · Q15CAS active1 mark

Parabolic path of a moving body

The position of a moving body is given by $\tvec{r}(t) = \sin(t)\tvec{i} + \cos(2t)\tvec{j}$ , where $t$ is measured in seconds, for $t \geq 0$ .

The motion of the body can be described as moving along a parabolic path given by

1 mark

y = 1 - 2x^2

, starting at

(0, 1)

, reversing direction at

(1, -1)

and then again at

(-1, -1)

, then returning to

(0, 1)

after

2\pi

seconds.B

y = 1 - x^2

, starting at

(1, 0)

, reversing direction at

(-1, 0)

, then returning to

(1, 0)

after

2\pi

seconds.C

y = 1 - 2x^2

, starting at

(0, 1)

, reversing direction at

(1, -1)

and then again at

(-1, -1)

, then returning to

(0, 1)

after

\pi

seconds.D

y = 1 - x^2

, starting at

(1, 0)

, reversing direction at

(-1, 0)

, then returning to

(1, 0)

after

\pi

seconds.

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