If the displacement of a moving object is $s ( t ) = 3 t ^ { 3 }$ , the acceleration is 18t.

Name: If the displacement of a moving object is $s ( t ) = 3 t ^ { 3 }$ , the acceleration is 18t.
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Quizplus · Accepted Answer

The acceleration is the second derivative of the displacement with respect to time, so differentiating $s(t) = 3t^3$ twice with respect to $t$ gives the acceleration $a(t) = 18t$.

If the Displacement of a Moving Object Is s(t)=3t3s ( t ) = 3 t ^ { 3 }s(t)=3t3

If the Displacement of a Moving Object Is $s ( t ) = 3 t ^ { 3 }$