The unit vectors $i\mathbf{i}$ and $j\mathbf{j}$ are due east and due north respectively.

At time $t\,$ seconds a particle has position vector $r=[(3t2−4)i+(2t2+12t)j]\mathbf{r} = \left[(3t^2 - 4)\mathbf{i} + (2t^2 + 12t)\mathbf{j}\right]$ m.

Find the time at which the particle is travelling on a bearing of $045°$ .

Find the magnitude of the acceleration of the particle.

The unit vectors $i\mathbf{i}$ and $j\mathbf{j}$ are due east and due north respectively.

At time $t\,$ seconds a particle has position vector $r=[(3t2−4)i+(2t2+12t)j]\mathbf{r} = \left[(3t^2 - 4)\mathbf{i} + (2t^2 + 12t)\mathbf{j}\right]$ m.

Find the time at which the particle is travelling on a bearing of $045°$ .

Find the magnitude of the acceleration of the particle.

3 Mechanics

Question 186

Markscheme

3 Mechanics

Question 186

Markscheme

3 Mechanics

Question 186

3 Mechanics Questions

3 Mechanics

Question 186

3 Mechanics Questions