Concept explainers
Recall that a family of solutions includes solutions to a differential equation that differ by a constant. For the following problems, use your calculator to graph a family of solutions to the given differential equation. Use initial conditions from y(t = 0) = -10 to y(t = 0) = 10 increasing by 2. Is there some critical point where the behavior of the solution begins to change?
56. [T] You throw a ball of mass 1 kilogram upward with a velocity of a = 25 m/s on Mars, where the force of gravity is g = -3.711 m/s2. Use your calculator to approximate how much longer the ball is in the air on Mars.
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