A ball is tossed into the air with an initial velocity of {{MATH_14}} m/s. What is the velocity of the ball after 1 second? How about after 2 seconds? {{CMD_15}} Knowing that the acceleration due to gravity is {{MATH_16}} m/s{{MATH_17}}, we write {{MATH_18}} To solve this differential equation, take the antiderivative of both sides {{ENV_19}} Since it is tossed up with an initial velocity of {{MATH_20}} m/s, {{MATH_21}} and we see that {{MATH_22}}. Therefore, {{MATH_23}} represents the initial velocity of the ball. Hence {{MATH_24}}.