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A motorcar of mass 1200 kg is moving along a straight line with a uniform velocity of 90 km/h. Its velocity is slowed down to 18 km/h in 4 s.Find acceleration and distance covered.
Given: u = 90km/h = 25m/s and v = 18km/h = 5m/s and t = 4s
Solution:
Acceleration:
we know that, $v = u + at$ or # a = $\frac{(v - u) }{ t}$
=> $\frac{(5 -25) }{ 4}$ = $-5 m/s^2$
'-' sign represents that the car is decelerating.
Distance:
$v^2 - u^2 = 2as$
=>$ s = \frac{(v^2 - u^2)}{2a}$
=> $s = \frac{(5^2 - 25^2) }{ -10}$
=>$ s = 60 $metres
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