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An object moves along x-axis such that i...

An object moves along x-axis such that its position varies with time according to the relation `x=50t-5t^(2)`
Here, x is in meters and time is in seconds. Find the displacement and distance travelled for the time interval t = 0 to t = 6 s.

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AI Generated Solution

To solve the problem of finding the displacement and distance traveled by the object moving along the x-axis according to the equation \( x = 50t - 5t^2 \) from \( t = 0 \) to \( t = 6 \) seconds, we can follow these steps: ### Step 1: Determine the position at \( t = 0 \) and \( t = 6 \) 1. **At \( t = 0 \)**: \[ x(0) = 50(0) - 5(0)^2 = 0 \, \text{meters} \] ...
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