Parameter from a turning time
Parameter from a turning time
Secondary 4
7 marks
Original parallel to supplied A Math Kinematics references
A particle moves in a straight line from \(O\). Its displacement after \(t\) seconds is \(s=kt^2-\dfrac13t^3\) metres, where \(k>0\). The particle is instantaneously at rest when \(t=8\).
- Find the value of \(k\).[2]
- Find the greatest displacement of the particle from \(O\).[2]
- Hence calculate the total distance travelled in the first \(10\) seconds.[3]
Solution:
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Answer:(i) \(k=4\) (ii) \(\dfrac{256}{3}\text{ m}\) (iii) \(104\text{ m}\)
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