Subjects · Leaving Cert Applied Maths
Leaving Cert Applied Maths: Constant acceleration (suvat)
How often Constant acceleration (suvat) comes up on the Applied Maths papers, every year it was asked, and questions to try.
HL Asked on 3 of the last 3 Higher Level papers, most recently in 2025. banker
OL Asked on 3 of the last 3 Ordinary Level papers, most recently in 2025. banker
Quick ones on Constant acceleration (suvat).
- 25 m/s
- 20 m/s
- 259.2 m/s
- v = u + at
- s = ut + ½at²
- v² = u² + 2as
- 80 m
- 120 m
- 40 m
Show the answers
(a) 20 m/s
(b) v² = u² + 2as
(c) 80 m
Higher Level
Asked on 3 of the last 3 Higher Level papers, most recently in 2025. banker
Every paper, year by year
| Year | Where it came up |
|---|---|
| 2025 | Q5, Q9 |
| 2024 | Q1, Q5 |
| 2023 | Q5 |
Links open the State Examinations Commission’s paper for that year.
More Constant acceleration (suvat) questions
Constant acceleration (suvat), 3 marks
A body starts from rest with acceleration 4 m/s². Distance covered during the 3rd second?
- 18 m
- 12 m
- 10 m
Show the answer
10 m
The 3rd second runs from t = 2 to t = 3: s(3) − s(2) = 2(9) − 2(4) = 18 − 8 = 10 m. 18 m is the total after 3 s; 12 is the speed at 3 s.
Constant acceleration (suvat), 3 marks
Car A starts from rest at 2 m/s² just as car B passes it at a steady 10 m/s. When does A catch B?
- After 20 s
- After 10 s
- After 5 s
Show the answer
After 10 s
Equal distances: t² = 10t, so t = 10 s (t = 0 is the start). At 5 s their speeds are equal and the gap is largest, but A has not caught up yet.
Constant acceleration (suvat), 2 marks
Which constant-acceleration equation does not involve the final velocity v?
- s = ut + ½at²
- v² = u² + 2as
- s = ½(u + v)t
Show the answer
s = ut + ½at²
Each suvat equation leaves out one of s, u, v, a, t. Pick the one missing the quantity you neither know nor want: s = ut + ½at² links s, u, a and t only.
Ordinary Level
Asked on 3 of the last 3 Ordinary Level papers, most recently in 2025. banker
Every paper, year by year
| Year | Where it came up |
|---|---|
| 2025 | Q3, Q10 |
| 2024 | Q1 |
| 2023 | Q6, Q7 |
Links open the State Examinations Commission’s paper for that year.
More Constant acceleration (suvat) questions
Constant acceleration (suvat), 3 marks
A car accelerates uniformly from rest to 20 m s⁻¹ in 5 s. Distance travelled?
- 100 m
- 25 m
- 50 m
Show the answer
50 m
s = ½(u + v)t = ½(0 + 20)(5) = 50 m. 100 m forgets the ½ and treats 20 m s⁻¹ as the speed all the way.
Constant acceleration (suvat), 3 marks
A ball is dropped from rest. Its speed after 2 s? (g = 9.8 m s⁻²)
- 4.9 m s⁻¹
- 19.6 m s⁻¹
- 9.8 m s⁻¹
Show the answer
19.6 m s⁻¹
v = u + at = 0 + 9.8 × 2 = 19.6 m s⁻¹. Each second of falling adds 9.8 m s⁻¹ to the speed.
Constant acceleration (suvat), 3 marks
A driver at 30 m s⁻¹ has a reaction time of 0.5 s. Distance before braking starts?
- 15 m
- 60 m
- 30 m
Show the answer
15 m
During the reaction time the car keeps its speed, so distance = 30 × 0.5 = 15 m. 60 m divides by 0.5 instead.
Other Applied Maths topics
- Calculus & variable acceleration
- Connected particles & pulleys
- Dijkstra's algorithm
- Displacement & velocity graphs
- First-order difference equations
- Forces & Newton's laws
- Friction & inclined planes
- Graphs & network terminology
- Horizontal circular motion
- Loans, savings & finance models
- Matrices & adjacency
- Minimum spanning trees
- Momentum & direct collisions
- Oblique collisions
- Projectile motion
- Recurrence relations & differences
- Reducing second-order DEs
- Resisted motion & drag
- Second-order difference equations
- Separable differential equations
- The modelling cycle & assumptions
- Vectors & the dot product
- Vertical circular motion
- Dimensional analysis
- Dynamic programming & Bellman
- Project scheduling & critical path
- Work, energy & conservation
- Greedy vs dynamic algorithms
- Hooke's law & elastic energy