When the balloon in problem 2-81 reached
, when will the balloon hit the ground?
What value of
represents the ground?
Approximate the balloon's velocity at
Velocity is slope of a distance/position graph. Since
is a parabola, we do not have the skills (yet) to find the slope on a curve. But we can approximate.
Choose two times very close to
. Use the function, , to find the balloon's height at those times. Find the slope of the line that goes through those points. This will be a good approximation of the velocity of the balloon at .