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Variable Acceleration
Check-in
Instructions
- Before you start, check you have completed the week 24 flipped learning tasks on 'Variable Acceleration'.
- Complete the two questions below.
- Check your answers.
- Use the video solution if necessary to correct your answers.
- The video also contains a brief recap of variable acceleration.
C1.
A toy car moves so that its displacement, \(x\), metres, from a flag after \(t\) seconds is given by the equation \(x = 2.1 + 1.7{t^2} - 0.2{t^3}\).
Find:
(a)The instantaneous velocity and acceleration of the car after \(5\) seconds.
(b)The displacement of the car from the flag at
(i)\(t=0\),
(ii)\(t=5\).
(c)The average velocity during the first \(5\) seconds of motion.
Answers
C2.
The velocity \(v\ {\rm{ ms}}^{ - 1}\), of a particle is given by \(v = t - 3t^2\). The initial displacement of the particle from the origin is \(3\ \rm{m}\).
Find its displacement from the origin after \(5\) seconds.
Answer
✓ \(x = -109.5\ \rm{m}\)
Check-in Video:
- A recap of key facts followed by solutions to the check-in questions. You only need to watch the first 2 minutes if you got the questions above correct.
Note: The video below may not be displayed in some older versions of the Microsoft Edge browser. Click here to load the playlist for this lesson directly from YouTube.