A particle is pushed along a horizontal surface in such a way that it starts with a velocity of 12
m/s. Its velocity decreases at a rate of 0.5 m/s2
. (a) Find the time it will take to come to rest. (b)
Find the distance covered by it before coming to rest.
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Answer:
your answer is ready sachin phogat
Explanation:
initial velocity of particle = 12 m/sec
negative acceleration = -0.5 m/sec ² [ negative acceleration show negative sign ]
final velocity = 0 m/sec [ particle finally come to rest ]
now, by defination of acceleration
a = v - u / t
-0.5 = 0 - 12 /t
t = -12/-0.5 = 24 sec
then by second equation of motion
s = ut + 1/2 at²
s = 12×24 + 1/2×-0.5×(24)²
s = 288 + 1/2×-0.5×576
s = 288 +288×0.5
s = 288 + 144 = 432m
you can also find displacement by third equation of motion that is
2as = v² - u²
hope it helps you very well
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I am mohit dangi
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