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CBSE Class 12 Mathematics 2026 Main Paper 65/4/2 · Q61 Marksrates_of_change

CBSE Class 12 Mathematics 2026 Main Paper 65/4/2 · Question 6 (Applications Of Derivatives)

A particle has position S(t)=72t+3t²−t³. When does it first come to rest for t≥0?

(A) 4 seconds
(B) 6 seconds
(C) 3 seconds
(D) 0 seconds

✅ Step-by-Step Solution

Final Answer: 6 seconds

Its velocity is 72+6t−3t²=−3(t−6)(t+4). The only nonnegative zero is t=6.

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