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A particle moves along the X-axis. Its X...

A particle moves along the X-axis. Its X-coordinate varies with time according to the expression `x = 4t + 2r^2,` where x is in meters and t is in seconds. The position-time graph for this motion is shown in the figures previously. Note that the particle moves in the negative X-direction for the first second of motion, is at rest at the moment `t = 1 s`, and then heads back in the positive X-direction for ` t gt 1 s`.
Find the displacement of the particle in the time interval `t = 0` s to `t = 1` s.

Text Solution

Verified by Experts

Displacement `Deltax = x_f - x_i`
`= [-4(1) + 2(1)^2] - [-4(0) + 2(0)^2]`
`= -2m`
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