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

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

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