# Problem № 6 (15 points)

A body is thrown vertically upwards from a high balcony. The dependence of the modulus of the body's acceleration on time is shown in the graph. Using this dependence, estimate the terminal velocity of the body. The acceleration due to gravity \( g = 10 \, \text{m} / \text{s}^2 \).

![](https://cdn.mathpix.com/cropped/2024_05_06_dde97d69ac546735bb46g-08.jpg?height=917&width=1285&top_left_y=958&top_left_x=434)

Answer: \( 25 \, \text{m} / \text{s} \)

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# Solution and Evaluation Criteria:

The graph looks this way due to the presence of air resistance acting on the ball.

At time $t=2 \, \text{s}$, the acceleration equals the acceleration due to gravity. Therefore, at this moment, the ball was at the highest point of its trajectory, and its velocity $v=0 \, \text{m} / \text{s}$.

The change in velocity is equal to the area under the graph.

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