9. (1) A vehicle starts moving on a straight line , with initial velocity 10 m/s and with constant acceleration. After moving 56m, its velocity becomes 18 m/s, he applied the breaks and come to rest in further 40.5m. Find (a) Highest speed of vehicle in journey. (b) Total time taken in journey. (c)Acceleration and the retardation, (ii) A particle moves in a straight line with acceleration 4 m/s’, and 0 initial velocity, for 3 s. Then it maintains , a uniform velocity for 6 s, and brought to rest in further 4 s, with constant retardation Find retardation and net displacement of particle. graphically solved it
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Explanation:
The initial velocity of the car = u
Final velocity of the car = v
Distance covered by the car before coming to rest = 200 m
Using the equation,
v = u + at
t = (v – u)/a = 11.44 sec.
Therefore, it takes 11.44 sec for the car to stop.
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