Exam-Style Question on Kinematics

A mathematics exam-style question with a worked solution that can be revealed gradually

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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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