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Q.

If a car travels 50 m distance in 4 s with an acceleration of 5 m/, then its initial speed is ___________

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a

1.5 m/s

b

2.5 m/s

c

3.5 m/s

d

4.5 m/s

answer is B.

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Detailed Solution

If a car travels 50 m distance in 4 s with an acceleration of 5 m/.
Given : The distance traveled by car s=50 m in time t=4 s with an acceleration of a=5 m/
By the third equation of motion we get,
s=ut+12at²
Where sut and a are the displacement, initial velocity, time taken and acceleration of the body respectively.
On substituting the given values, we get the initial velocity as
50=u×4+12×5×4²
50=4u+40
u=2.5 m/s
Hence, the initial velocity of car is 2.5 m/s.
 

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