A body sliding on a smooth inclined plane requires 4 second to reach the bottom, starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the top ?

Time taken by the body to reach the bottom t1,= 4 sec. Let t2 be the time to cover one-fourth distance.Initial distance s1 = s ond final distance s2 = s/4We know that s=12gt2 or t∝s∴t1t2    =s1s2=s(s/4)=4=2or t2    =t12=42=2sec