The position x of a particle varies with time t as x = at² - bt³. The acceleration of the particle will be zero at time t equal to:
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Question

The position x of a particle varies with time t as x = at² − bt³. The acceleration of the particle will be zero at time t equal to:

G1 Physics · Accepted Answer

Step 1: v = dx/dt = 2at − 3bt². Step 2: Acceleration = dv/dt = 2a − 6bt. Step 3: Set acceleration to zero: 2a−6bt=0, so t=a/(3b). Final answer: B.