Question:
The position x of a particle varies with time t as
x = At² - Bt³. The acceleration at the time of the maximum velocity will be equal to zero. What is the value of t?
The position x of a particle varies with time t as
x = At² - Bt³. The acceleration at the time of the maximum velocity will be equal to zero. What is the value of t?
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Maximum velocity occurs when acceleration becomes zero.
Updated On: Mar 18, 2026
- 2A3B
- AB
- A3B
- zero
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The Correct Option is C
Solution and Explanation
Step 1: Velocity is v = (dx)/(dt) = 2At - 3Bt²
Step 2: Acceleration is a = (dv)/(dt) = 2A - 6Bt
Step 3: At maximum velocity, acceleration is zero: 2A - 6Bt = 0 t = (A)/(3B)
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