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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 are related as `t^(2)+100=2vt` where v is in meter/second and t is in second. Find the possible positive values of v.

Text Solution

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When particle comes to rest, v =0
So `t^(2)+ 3t-4=0 rArr t = -3 pm sqrt(9-4(1)(-4))/(2(1)) rArr t=1 or -4`
Neglect negative value of t, `" "` Hence t=1 s
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