Further Kinematics

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Question 39

At time $t$ seconds a particle, $P$ , has position vector $r\mathbf{r}$ metres, with respect to a fixed origin, such that

\mathbf{r} = (t^3 - 4t^2)\mathbf{i} + (12t - t^2)\mathbf{j}

a.

Find the exact speed of $P$ when $t = 3$ .

[3]

b.

A student claims that the magnitude of acceleration of $P$ will never be zero. Determine whether the student's claim is correct. Fully justify your answer.

[3]

Further Kinematics

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52

Question 39

At time $t$ seconds a particle, $P$ , has position vector $r\mathbf{r}$ metres, with respect to a fixed origin, such that

\mathbf{r} = (t^3 - 4t^2)\mathbf{i} + (12t - t^2)\mathbf{j}

a.

Find the exact speed of $P$ when $t = 3$ .

[3]

b.

A student claims that the magnitude of acceleration of $P$ will never be zero. Determine whether the student's claim is correct. Fully justify your answer.

[3]

Further Kinematics

Question 39

Further Kinematics Questions

Further Kinematics

Question 39

Further Kinematics Questions