2025 DSS PRELIMS P2 Q1
2025 DSS PRELIMS P2 Q1
Secondary 4
8 marks
- A ball is thrown vertically upwards. Its height \(h\) m, above the ground at time \(t\) seconds after being thrown is given by the formula \(h=7+20t-5t^2\). Find the maximum height attained by the ball and the time at which this occurs.[4]
- Find the set of values of the constant \(k\) for which the curve \(y=x^2+6x+k\) lies entirely above the line \(y=k(x-1)\).[4]
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Answer:(a) \(27\text{ m}\), at \(t=2\text{ s}\) (b) \(2<k<18\)
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