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A body starts to slide over a horizontal...

A body starts to slide over a horizontal surface with an initial velocity of `0.5 kmh^(-1)`.due to friction, it velocity decreases at a rate of `0.05 ms^(-2)` .how much time will it take for body to stop ?\

Text Solution

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Here, Initial velocity, `u` = 0.5 m/s
Final velocity, `v` = 0 (The body stops)
Acceleration, `a` = -0.05 m/`s^(2)`
And, `" "` Time, `t` = ? (To be calculated)
Now, from the first equation of motion, we have :
`" "v=u+at` ltBrgt So, `" "0= 0.5+(-0.05)xxt`
or `" "0.05 t = 0.5` ltBrgt `" "t=(0.5)/(0.05)`
`" "t= 10s`
Thus, the body will take 10 seconds to stop.
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