Year 12 Methods (Unit 3 & 4)
Further differentiation and applications
Motion in a straight line
ACCOUNT REQUIRED
Unlock all 20 questions & worked solutions
You're viewing a free preview. Create an account to access the complete question set, step-by-step solutions, and progress tracking.
All Questions
Access the full question set for every topic.
Worked Solutions
Step-by-step explanations for every answer.
Track Progress
Mark questions right or wrong and monitor your growth.
It's Free
No credit card required - sign up in under a minute.
Questions
Question 1
51962
A particle is moving such that its displacement \(x\) cm from the origin after \(t\) seconds is given by:
\[x=t^3-2t^2+t+5\]
Find
i) Formulae for its velocity and acceleration
ii) The initial velocity and acceleration
Part a:
\(v=3t^2-4t+1,\ a=6t-2\)
\(v=3t^2-2t+1,\ a=6t-2\)
\(v=t^2-4t+1,\ a=2t-4\)
\(v=3t^2-4t+1,\ a=6t-4\)
Correct
Part b:
\(v=5\text{ cm/s},\ a=-4\text{ cm/s}^2\)
\(v=1\text{ cm/s},\ a=4\text{ cm/s}^2\)
\(v=1\text{ cm/s},\ a=-4\text{ cm/s}^2\)
Correct
\(v=0\text{ cm/s},\ a=-4\text{ cm/s}^2\)
📚 Want More Questions?
There are 19 more questions available. Create your free account to access the complete question set with detailed solutions.