Consider a rubber ball freely falling from a height h=4.9 m onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then the velocity as a function of time and the height as function of time will be

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(3) Graph (c). Take upward as positive, as the y-graphs do. While falling the velocity is negative and grows linearly: a straight line from 0 down to -v₁ at t₁. At the elastic bounce it flips instantly to +v₁, then decreases linearly through 0 (top of the bounce at 2t₁) to -v₁ at 3t₁, and so on: a sawtooth with vertical jumps upward. The height is a parabola from h to 0, then repeated identical arches back to h. This is graph (c).

Consider a rubber ball freely falling from a height h=4.9 m onto a horizontal elastic plate. Assume that the duration of collision is negligible and the collision with the plate is totally elastic. Then the velocity as a function of time and the height as function of time will be

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