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Q.

Is it true that if a car starts at rest and accelerates uniformly, the distance traveled by car is directly proportional to the square of the time it travels?


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a

True

b

False 

answer is A.

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Detailed Solution

The above statement is True.
From the third equation of motion, the distance/displacement is given by
s = ut + 12at2
Where a, u, s, and t are the acceleration, initial velocity, distance/displacement, and the time taken, respectively.
Now, if the body starts from rest, initial velocity u=0 m/s. Therefore, it can be written as
⇒s=12at2
Hence, the distance travelled by the car is directly proportional to the square of the time it travels.
 
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Is it true that if a car starts at rest and accelerates uniformly, the distance traveled by car is directly proportional to the square of the time it travels?