Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line

Kinematics of motion in a straight line — practice question

A particle is launched vertically upwards at speed $u\,\text{m s}^{-1}$ from a point on level ground. After $2$ seconds, its height above the ground is $24\,\text{m}$.
(a)[2]

Show, by working, that $u = 22$.

(b)[4]

For $3.6\,\text{s}$, the particle is at a height greater than $h\,\text{m}$ above the ground. Find $h$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use of $s = ut + \frac{1}{2}at^2$, $24 = 2u - \frac{1}{2} g \times 2^2$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI