Homework Answers
"When it stops" means "When its velocity is zero"
x(t)= -2.68t² + 2.52t + 3.91
velocity = dx/dt = -5.36t + 2.52
When dx/dt = 0
-5.36t + 2.52 = 0
t = 2.52/5.36 = 0.470 s
So what is x(t) when t = 0.470 ? Plug that value for t back into
the original expression:
x(t)= -2.68 * 0.470² + 2.52 * 0.470 + 3.91
x = -0.5920 + 2.99 + 3.91
x = 6.308 meters
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