the acceleration of a certain marble is given by,

a=-3(velocity squared)

if the marble enters the fluid with a speed of 1.5m/s , how long will it take before marble's speed is reduced to half of its initial value?

Question

the acceleration of a certain marble is given by,

a=-3(velocity squared)

if the marble enters the fluid with a speed of 1.5m/s , how long will it take before marble's speed is reduced to half of its initial value?

SAGAR SINGH - IIT DELHI · Answer

Dear student,

a=-3v2

dv/dt=-3v2

dv/v2=-3dt

-1/v=-3t

So u get a relation between velocity and time..

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

vikas askiitian expert · Answer

a = dv/dt a = -3v 2 (given) dv/dt = -3v 2 dv/v 2 = -3dt -1/v = -3t + c .............1 at t=0 , v = 1.5 c = -2/3 now eq 1 becomes -1/v = -3t + -2/3 ................2 finally velocity becomes half of original= v = 1.5/2 after putting this in eq 2 we get t = 2/9 sec t =

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the acceleration of a certain marble is given by, a=-3(velocity squared) if the marble enters the fluid with a speed of 1.5m/s , how long will it take before marble's speed is reduced to half of its initial value?

the acceleration of a certain marble is given by,

a=-3(velocity squared)

if the marble enters the fluid with a speed of 1.5m/s , how long will it take before marble's speed is reduced to half of its initial value?

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the acceleration of a certain marble is given by, a=-3(velocity squared) if the marble enters the fluid with a speed of 1.5m/s , how long will it take before marble's speed is reduced to half of its initial value?

the acceleration of a certain marble is given by, a=-3(velocity squared) if the marble enters the fluid with a speed of 1.5m/s , how long will it take before marble's speed is reduced to half of its initial value?

2 Answers

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Other Related Questions on Mechanics

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the acceleration of a certain marble is given by,

a=-3(velocity squared)

if the marble enters the fluid with a speed of 1.5m/s , how long will it take before marble's speed is reduced to half of its initial value?