A particle is executing SHM about - -0 along y- axis-Its position at an instant is given by - -7m sin-t its average velcocity for a time interval 0 to 0-5 s is

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Standard XII

Mathematics

Average Rate of Change

A particle is...

Question

A particle is executing SHM about $γ = 0$ along y- axis.Its position at an instant is given by $γ = (7 m)$ sin(πt) its average velcocity for a time interval 0 to 0.5 s is

14 m / s

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7 m / s

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\frac{1}{7} m / s

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28 m / s

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Solution

The correct option is A $14 m / s$
at t=0, position of particle , r=0
at t=0.5, position of particle, r=7m
Total displacement = 7m
Total time = 0.55
$A v e r a g e v e l o c i t y = \frac{T o t a l d i s p l a c e m e n t}{T o t a l t i m e}$
$= \frac{7}{0.5} = 14 m / s$

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A particle is executing SHM about γ=0 along y- axis.Its position at an instant is given by γ=(7m) sin(πt) its average velcocity for a time interval 0 to 0.5 s is

The correct option is A 14m/sat t=0, position of particle , r=0at t=0.5, position of particle, r=7mTotal displacement = 7mTotal time = 0.55Averagevelocity=TotaldisplacementTotaltime=70.5=14m/s

A particle is executing SHM about $γ = 0$ along y- axis.Its position at an instant is given by $γ = (7 m)$ sin(πt) its average velcocity for a time interval 0 to 0.5 s is

The correct option is A $14 m / s$
at t=0, position of particle , r=0
at t=0.5, position of particle, r=7m
Total displacement = 7m
Total time = 0.55
$A v e r a g e v e l o c i t y = \frac{T o t a l d i s p l a c e m e n t}{T o t a l t i m e}$
$= \frac{7}{0.5} = 14 m / s$