Higher June 2024 Paper 5 Q9
9 The following kinematics formulas may be used in this question.
\(v = u + at\)
\(v^2 = u^2 + 2as\)
A particle has an initial velocity of 0 m/s.
The particle accelerates uniformly at \(3\,\text{m/s}^2\) for 4 seconds.
Find the distance travelled by the particle in the 4 seconds. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 24 nfww | 4 | M1 for [\(v =\) ] [0+] 3 × 4 M2 for their \((3 \times 4)^2 \div (2 \times 3)\) or better or M1 for their \((3 \times 4)^2 = 2 \times 3 \times s\) | nfww – not from 2 × 3 × 4 M1 implied by [\(v =\)] 12 but not if obtained from \(0 = u + 3 \times 4\) , this gets M0 If eqn not used and \(d = st\) answer 12 then M0 Condone other variable used for \(s\) but not \(v\), \(u\), \(a\) or \(t\) See AG if other kinematics formulas used |
Additional guidance: Question 9
Candidates may choose to use Kinematics formulas other than those given
If \(s = ut + \frac{1}{2}at^2\) used instead of given formulae, allow M3 for [\(s =\) ] [\(0 \times 4 +\)] \(\frac{1}{2} \times 3 \times 4^2\)
OR
After \(v\) = 12
Allow M2 for [\(s =\) ] \(\frac{0 + 12}{2} \times 4\) or [\(s =\) ] \(12 \times 4 - \frac{1}{2} \times 3 \times 4^2\)