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PHY 101 PHY 101 Past Questions Objective Question

Question

The coordinate of a particle in meters is given by x(t) = 16t - 3.0t³, where the time t is in seconds. The particle is momentarily at rest at t =
Options
A 0.75 s
B 1.3 s
Correct Answer
C 5.3 s
D 7.3 s
Correct Answer

Option B is the correct answer.

Detailed Explanation

Velocity v(t) = dx/dt = 16 - 9t². Set v=0 => 16 - 9t² = 0 => t² = 16/9 => t = 4/3 = 1.33 s ≈ 1.3 s.

Hint

Differentiate position to get velocity, then set to zero.

Question Info