16 Jermaine and his friend Meena are walking in the same direction along a straight path.
Meena is walking at a constant speed of \(u \mathrm {~m} \mathrm {~s} ^ { - 1 }\)
Jermaine is walking \(0.2 \mathrm {~ms} ^ { - 1 }\) more slowly than Meena.
When Jermaine is \(d\) metres behind Meena he starts to run with a constant acceleration of \(2 \mathrm {~m} \mathrm {~s} ^ { - 2 }\), for a time of \(t\) seconds, until he reaches her.
16
- Show that
$$d = t ^ { 2 } - 0.2 t$$
16
- When Jermaine's speed is \(7.8 \mathrm {~ms} ^ { - 1 }\), he reaches Meena.
Given that \(u = 1.4\) find the value of \(d\).