A car is moving with initial speed 20 m/ s^2 and accleration of 5m/ s^2 applied for some time distance travel by car 200 km find time taken by car
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Explanation:
Use the formula
S = ut+(1/2)at^2
S is displacement
u is initial velocity/speed
t is time and
a is acceleration.
Initial speed = 20 m/s
Acceleration = 5m/s^2
Distance = 200km = 200000 m
Now, s= ut+(1/2)at^2
200000= 20(t) +1/2(5)t^2
=> (5/2)t^2 + 20t = 200000
Take 5/2 common
=> (5/2)(t^2 + 8t) = 200000
=> t^2 +8t = 200000×2/5
=> t^2 +8t -80000 =0
=> t = ???
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