## Exam-Style Question on Kinematics## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 414. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.

The following kinematics formula can be used to work out the distance travelled (displacement) of an object travelling with constant acceleration.

$$ s = ut + \frac12 at^2 $$where:

- \(s\) is the distance measured in metres;
- \(t\) is the time measured in seconds;
- \(u\) is the initial speed;
- \(a\) is the acceleration;

(a) Rearrange the formula to make \(u\) the subject.

(b) What units would be associated with speed in this case?

(c) What units would be associated with acceleration?

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