A heavy rope, 60 ft long, weighs 0.7 lb/ft and hangs over the edge of a building 140 ft high. (a) How much work W is done in pul
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With acceleration
and initial velocity
the velocity at time <em>t</em> (b) is given by
We can get the position at time <em>t</em> (a) by integrating the velocity:
The particle starts at the origin, so .
Get the coordinates at <em>t</em> = 8.00 s by evaluating at this time:
so the particle is located at (<em>x</em>, <em>y</em>) = (64.0, 64.0).
Get the speed at <em>t</em> = 8.00 s by evaluating at the same time:
This is the <em>velocity</em> at <em>t</em> = 8.00 s. Get the <em>speed</em> by computing the magnitude of this vector: