Kinematics - Maximum and Minimum Motion Quantities
Kinematics - Maximum and Minimum Motion Quantities
A particle \(P\) travels in a straight line so that its displacement, \(s\) cm, from a fixed point \(O\) is given by \(s = 3t + \frac{12}{t+1}\), where \(t\) is the time in seconds after leaving the starting point \(A\). Calculate
- the initial velocity of \(P\),
- the velocity of \(P\) when it is next at \(A\),
- the minimum displacement of \(P\) from \(O\),
- the total distance travelled during the first \(3\) seconds.
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Answer:(i) \(-9\) cm s\(^{-1}\); (ii) \(\frac{9}{4}\) cm s\(^{-1}\); (iii) \(9\) cm; (iv) \(6\) cm.
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