A particle moves along a straight line such that its displacement s at any time t is given by s = t³ - 6t² + 3t + 4. Find the velocity when the acceleration is zero. A. -9 B. -12 C. 3 D. 0 Answer: A) -9 Explanation: Velocity v = ds/dt = 3t² - 12t + 3. Acceleration a = dv/dt = 6t - 12. If a = 0, t = 2. At t = 2, v = 3(2)² - 12(2) + 3 = 12 - 24 + 3 = -9.

imo class 12 application of derivatives

A particle moves along a straight line such that its displacement s at any time t is given by s = t³ - 6t² + 3t + 4. Find the velocity when the acceleration is zero.

VAVidaara Admin Asked 6d ago 0 views 0 answers

#IMO #Class 12 #Mathematics #Application of Derivatives #achievers

A particle moves along a straight line such that its displacement s at any time t is given by s = t³ - 6t² + 3t + 4. Find the velocity when the acceleration is zero.

A. -9
B. -12
C. 3
D. 0

Answer: A) -9

Explanation: Velocity v = ds/dt = 3t² - 12t + 3. Acceleration a = dv/dt = 6t - 12. If a = 0, t = 2. At t = 2, v = 3(2)² - 12(2) + 3 = 12 - 24 + 3 = -9.

0 Answers

Discussion (0)

No comments yet — start the discussion.

← Back to all questions