determine the speed.

VITEEE Papers › Mechanics questions › determine the speed.

A particle is moving with a velocity \overrightarrow{\mathbf{v}_0} when starting at t=0, a constant force starts to act on it. As a result, at t=t₀, its speed becomes \dfrac{v_0}{2}, and at t=2t₀, its speed becomes \dfrac{v_0}{4}. Determine the speed at t=3t₀.

#Physics #Mechanics

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8 Answers

66

kaymant ·2009-04-29 19:32:16

that answer is incorrect rohan

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Rohan Ghosh ·2009-04-29 19:38:49

ooopse seems a calc mistake
âˆš(7/16) v₀

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66

kaymant ·2009-04-29 19:52:26

yes thats correct

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ANKIT MAHATO ·2009-04-29 19:55:48

v/9 .. pure guess :)

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Dharun ·2009-04-29 19:56:01

rohan plz post the soln

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66

kaymant ·2009-04-29 20:06:15

ankit look at rohan's answer

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noone ·2009-04-29 20:08:39

t0 = v0/2 ;;; acc for first time interval = -v0/2t

t1= 2t0 = v0/4 ;;; acc for second time interval = -v0/4t

....

acc for third time interval = -v0/8t

so,

v0²/16 - v² = 2 (-v0/8t)[v0t/4 - 1/2.(-v0/8t )t²]

=> v² = √7v₀/64

oho... where am i wrong [12]

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rajat sen ·2009-04-29 20:36:42

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