An ion is being manipulated within a mass spectrometer. At time $t$ seconds, the acceleration of the ion, $s−2\mathbf{a} \text{ m s}^{-2}$ , is modeled by the vector function:

\mathbf{a} = (12kt^2 - 6kt + 5)\mathbf{i} + (24t - 10)\mathbf{j}

where $k$ is a constant.

The initial velocity of the ion is $s−1(8\mathbf{i} + 3\mathbf{j}) \text{ m s}^{-1}$ .

At $t = 2$ , the velocity of the ion is $s−1(48\mathbf{i} + 31\mathbf{j}) \text{ m s}^{-1}$ .

Show that $k = 1.5$ .

An ion is being manipulated within a mass spectrometer. At time $t$ seconds, the acceleration of the ion, $s−2\mathbf{a} \text{ m s}^{-2}$ , is modeled by the vector function:

\mathbf{a} = (12kt^2 - 6kt + 5)\mathbf{i} + (24t - 10)\mathbf{j}

where $k$ is a constant.

The initial velocity of the ion is $s−1(8\mathbf{i} + 3\mathbf{j}) \text{ m s}^{-1}$ .

At $t = 2$ , the velocity of the ion is $s−1(48\mathbf{i} + 31\mathbf{j}) \text{ m s}^{-1}$ .

Show that $k = 1.5$ .

4.8 Kinematics (A-level only)

Question 106

Markscheme

4.8 Kinematics (A-level only)

Question 106

Markscheme

4.8 Kinematics (A-level only)

Question 106

4.8 Kinematics (A-level only) Questions

4.8 Kinematics (A-level only)

Question 106

4.8 Kinematics (A-level only) Questions