A time boundary set by a speed limit
A time boundary set by a speed limit
6 marks
TGM Original
A particle has velocity v=-(t-2)2-1 m,s-1 for 0 <= t <= T seconds, where T>2. Find the largest T for which its speed never exceeds 5 m,s-1. For that interval, find its greatest velocity and least speed.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Answer:Largest \(T=4\) s; greatest velocity \(-1\ \mathrm{m\,s^{-1}}\), and least speed \(1\ \mathrm{m\,s^{-1}}\), both at \(t=2\) s.
Need help? Join our JC Math tuition classes.
Learn more