This discussion is now closed.
Check out other Related discussions
- Isaac physics SPC 2022
- Isaac Senior Physics Challenge 2024
- Senior Physics Challenge 2022
- Senior Physics Challenge Isaac Physics
- best way to revise maths
- A level maths UMS marks!!!
- A seemingly unachievable goal
- Edexcel A2 Mathematics: Core Mathematics C4 6666 01 - 22 June 2018 [Exam Discussion]
- What content do I need to know for a Oxford Chemistry interview and how to prepare?
- A-Level Music Technology 2023
- Edexcel maths papers without blank pages in-between?
- Solomon or Elmwood or Delphis Papers?
- I need help understanding chemistry for my mocks
- Isaac physics Senior Physics Challenge
- When do we know if I've got into year 3?
- Similar a levels
- ChiefKwen's Journey to 4A*S and OCRE
- Easiest ABRSM piano Grade 8 2025-2026 pieces!!!!
- Edexcel Maths AS+A2 - All papers in one excel sheet (including solomon papers)!
- Isaac Physics SPC Summer School
C3 Questions
Hey,
Could anyone work the following out please, it was on todays C3 paper (CEA) btw.
5,
A particle moves about a fixed pont O so that its displacement, x, from O can be modelled by the equation
x = t - sin2t
where t is the time after leaving O and 0«t«π
Find the maximum displacement of the particle from O.
Could anyone work the following out please, it was on todays C3 paper (CEA) btw.
5,
A particle moves about a fixed pont O so that its displacement, x, from O can be modelled by the equation
x = t - sin2t
where t is the time after leaving O and 0«t«π
Find the maximum displacement of the particle from O.
dx/dt = 1 - 2cos2t
at SPs dx/dt = 0
so 1 = 2cos2t
cos2t = 1/2
2t = π/3, 5π/3
t = π/6, 5π/6
If you plot a graph for x against t you see that the graph falls then rises, or you could find d2 x/dt2 to find which is a maximum
Since it's only between t = 0 and t = π, the point at t = 5π/6 is the maximum so this is the max displacement:
x = 5π/6 - sin(5π/3)
= 5π/6 + root3/2
= 3.48 (3sf)
Think this is right but I've been wrong a lot lately so you might want a second opinion
at SPs dx/dt = 0
so 1 = 2cos2t
cos2t = 1/2
2t = π/3, 5π/3
t = π/6, 5π/6
If you plot a graph for x against t you see that the graph falls then rises, or you could find d2 x/dt2 to find which is a maximum
Since it's only between t = 0 and t = π, the point at t = 5π/6 is the maximum so this is the max displacement:
x = 5π/6 - sin(5π/3)
= 5π/6 + root3/2
= 3.48 (3sf)
Think this is right but I've been wrong a lot lately so you might want a second opinion
Master Gee
dx/dt = 1 - 2cos2t
at SPs dx/dt = 0
so 1 = 2cos2t
cos2t = 1/2
2t = π/3, 5π/3
t = π/6, 5π/6
If you plot a graph for x against t you see that the graph falls then rises, or you could find d2 x/dt2 to find which is a maximum
Since it's only between t = 0 and t = π, the point at t = 5π/6 is the maximum so this is the max displacement:
x = 5π/6 - sin(5π/3)
= 5π/6 + root3/2
= 3.48 (3sf)
Think this is right but I've been wrong a lot lately so you might want a second opinion
at SPs dx/dt = 0
so 1 = 2cos2t
cos2t = 1/2
2t = π/3, 5π/3
t = π/6, 5π/6
If you plot a graph for x against t you see that the graph falls then rises, or you could find d2 x/dt2 to find which is a maximum
Since it's only between t = 0 and t = π, the point at t = 5π/6 is the maximum so this is the max displacement:
x = 5π/6 - sin(5π/3)
= 5π/6 + root3/2
= 3.48 (3sf)
Think this is right but I've been wrong a lot lately so you might want a second opinion
yer you're right
well, i got the same as you (no point writing out working but its the same as yours)
Related discussions
- Isaac physics SPC 2022
- Isaac Senior Physics Challenge 2024
- Senior Physics Challenge 2022
- Senior Physics Challenge Isaac Physics
- best way to revise maths
- A level maths UMS marks!!!
- A seemingly unachievable goal
- Edexcel A2 Mathematics: Core Mathematics C4 6666 01 - 22 June 2018 [Exam Discussion]
- What content do I need to know for a Oxford Chemistry interview and how to prepare?
- A-Level Music Technology 2023
- Edexcel maths papers without blank pages in-between?
- Solomon or Elmwood or Delphis Papers?
- I need help understanding chemistry for my mocks
- Isaac physics Senior Physics Challenge
- When do we know if I've got into year 3?
- Similar a levels
- ChiefKwen's Journey to 4A*S and OCRE
- Easiest ABRSM piano Grade 8 2025-2026 pieces!!!!
- Edexcel Maths AS+A2 - All papers in one excel sheet (including solomon papers)!
- Isaac Physics SPC Summer School
Latest
Trending
