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The distance travelled by a particles S ...

The distance travelled by a particles `S = 10t^(2) (m)`. Find the value of instantaneous speed at `t = 2` sec.

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To find the instantaneous speed of the particle at \( t = 2 \) seconds given the distance function \( S = 10t^2 \), we can follow these steps: ### Step 1: Understand the relationship between distance and speed The instantaneous speed of a particle is defined as the derivative of the distance with respect to time. Mathematically, this is represented as: \[ v(t) = \frac{dS}{dt} \] ...
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