AQA AS Paper 1 2023 June — Question 16

Exam BoardAQA
ModuleAS Paper 1 (AS Paper 1)
Year2023
SessionJune
TopicNon-constant acceleration

16 A toy remote control speed boat is launched from one edge of a small pond and moves in a straight line across the pond's surface. The boat's velocity, \(v \mathrm {~m} \mathrm {~s} ^ { - 1 }\), is modelled in terms of time, \(t\) seconds after the boat is launched, by the expression $$v = 0.9 + 0.16 t - 0.06 t ^ { 2 }$$ 16
  1. Find the acceleration of the boat when \(t = 2\)
    16
  2. Find the displacement of the boat, from the point where it was launched, when \(t = 2\)