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A one-dimensional force F varies with ti...

A one-dimensional force F varies with time according to the given graph. Calculate impulse of the force in following time intervals.
(a) From `t=0s` to `t=10s`.
From `t=10 s` to `t=15s`.
(C) From `t=0 s` to `t=15s`.

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To solve the problem of calculating the impulse of the force over the specified time intervals based on the given graph, we will follow these steps: ### Step-by-Step Solution 1. **Understanding Impulse**: Impulse is defined as the integral of force over time, which can also be interpreted as the area under the force vs. time graph. Mathematically, impulse \( J \) can be expressed as: \[ J = \int_{t_i}^{t_f} F \, dt ...
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