A-LevelMathematicsMechanics9709/42 · Feb/Mar 2022 · Q25 Marks
A particle P is projected vertically upwards from horizontal ground with speed ums¯¹. P reaches a maximum height of 20m above the ground.
- (a)Find the value of u.[2]
- (b)Find the total time for which P is at least 15m above the ground.[3]
Mark scheme
Marking points from the official mark scheme (Feb/Mar 2022). The mark or mark type is shown in brackets.
- [M1] 0 = u² - 2 × 10 × 20 OR (Complete method to set up an equation in u only. Use of v² = u² + 2as or finding time to reach maximum height (t = 2) and using this value to set up another equation in u only.)
- [A1] u = 20
- [M1] 15=20t - 1/2 × 10 × t² (Use of s = ut + 1/2at² and attempt to set up an equation from which a relevant t value can be found. Must be using their u and a=-10)
- [A1] t = 1 or t = 3
- [A1 CWO] Total time = 2 s
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →