Skip to content

Course home

3.6 Integration (A-level only)

3.6 Integration (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291
Question 218

A robotic arm's angular velocity ω\omegaω (in rad s−1^{-1}−1) over the interval 0≤t≤π0 \le t \le \pi0≤t≤π is modelled by the function

ω(t)=tcos⁡(12t) \omega(t) = t \cos\left(\frac{1}{2}t\right) ω(t)=tcos(21​t)

where ttt is the time in seconds.

Show that the total angular displacement of the arm between t=0t = 0t=0 and t=πt = \pit=π is (2π−4)(2\pi - 4)(2π−4) radians.

[5]
Markscheme

3.6 Integration (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Integration (A-level only)

363 exam-style questions on CCEA A Level Maths 3.6 Integration (A-level only), covering 3.6.1 Integration (A-level only), 3.6.2 Integration (A-level only), 3.6.3 Integration (A-level only), 3.6.4 Integration (A-level only), 3.6.5 Integration (A-level only), 3.6.6 Integration (A-level only), and 3.6.7 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank