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If a particle starts moving along x-axis...

If a particle starts moving along x-axis from the origin with initial velocity `u=1ms^-1` and acceleration `a=2ms^-2`, the relationship between displacement and time is
`x=ut+1/2at^2=1xxt+1/2xx2xxt^2=t+r^2`
Draw the displacement (x)-time (t) graph.

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To solve the problem step by step, we will derive the relationship between displacement and time, and then we will sketch the displacement-time graph. ### Step 1: Write the equation for displacement The displacement \( x \) of a particle moving with initial velocity \( u \) and constant acceleration \( a \) is given by the equation: \[ x = ut + \frac{1}{2} a t^2 \] Given: ...
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