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The speed (v) and time (t) for an object...

The speed (v) and time (t) for an object moving along straight line area related as `t^(2) + 100= 2vt` where v is in meter/second and t is second. Find the possible positive values of v.

Text Solution

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For possible values of v, time t must be real so from `b^(2)-4acge0`
we have `(-2v)^(2)-4(1)(100)ge0`
`rArr4v^(2)-400ge0 rArr v^(2)-100ge0`
`rArr (v-10)(v+10)ge0 rArr vge10 "and" v le-10`
Hence possible positive values of v are `v ge10 m//s`.
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