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Abhingya Patra Grade: 11

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 units

b) All values less than 20 units

c) All positive values are possible for v

d) No value of v can satisfy the given expression

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points

Dear  Abhingya Patra


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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7 years ago
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