Question

the displacement x of a perticle is dependent on time t according to the relation :x=3-5t+2t²​

Answer 1

Answer:

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Explanation:

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so,

x = $2t^2-5t+3$

so on factorizing the quadratic equation

= $2t(t-1) -3(t-1)\\=> (2t-3)(t-1)\\x = (2t-3)(t-1)$

so it means , b factor theorem,

2t-3 = 0                  = t = 3/2 s

and

t-1=0                        = t = 1 s

so the displacement of particle x will take place uniformly at 3/2 s or 1 s