The position 𝑥 of a particle with respect to time 𝑡 along 𝑥-axis is given by 𝑥 = 9𝑡2 − 𝑡 3 where 𝑥 is in meters and 𝑡 in second. What will be the position of this particle when it achieves maximum speed along the +𝑥 direction

April 12, 2022

by Ezee_Notes

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Physics Problems

Question : The position 𝑥 of a particle with respect to time 𝑡 along 𝑥-axis is given by 𝑥 = 9𝑡2 − 𝑡 3 where 𝑥 is in meters and 𝑡 in second. What will be the position of this particle when it achieves maximum speed along the +𝑥 direction

(A) 32 𝑚

(B) 54 𝑚

(D) 24 𝑚

Answer : option (B)

Solution :

The position 𝑥 of a particle with respect to time 𝑡 along 𝑥-axis is given by 𝑥 = 9𝑡2 − 𝑡 3 where 𝑥 is in meters and 𝑡 in second. What will be the position of this particle when it achieves maximum speed along the +𝑥 direction