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If speed (v) and time (t) are related as t2-10vt+10000=0; then what can be the values of v?a) All values more than or equal to 20 unitsb) All values less than 20 unitsc) All positive values are possible for vd) No value of v can satisfy the given expression

147 Points
11 years ago

Dear  Abhingya Patra

t2-10vt+10000=0

this equation is quadretic in time.

since time t is real positive value

solve this equation for t

t = {10v ± √(10v)2 -4*1*10000}/2

={10v ± 10√v2 -400}/2

=5v ± 5√(v2 -400)

for real value of t

v2 -400 ≥0

(v-20)(v+20) ≥0

V ≤-20  or v≥20

but negative value of t will give negative time which is not possible

so v≥20 is the solution

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