Speeds of two identical cars are u and 4u at a specific instant. The ratio of the respective distances in which two cars are stopped from that instant.

Speeds of two identical cars are u and 4u at a specific instant. The r

1.	Speeds of two identical cars are u and 4u at a specific instant. The ratio of the respective distances in which two cars are stopped from that instant.
Answer» `1:1` `1:4` `1:8` `1:16` Solution :`v ^(2) -u ^(2) = 2D, v =0` `THEREFORE = ((0)^(2) - u ^(2))/( 2A)` `therefore d =- ( u^(2))/( 2a),` here `-(1)/(2a) ` is CONSTANT. `therefore d alpha u ^(2)` `therefore (d _(1))/(d _(2)) = ((u _(1))/( u _(2)))^(2) = ((u)/( 4u )) ^(2)` `therefore (d _(1))/(d_(2)) = (1)/(16)` `therefore d _(1) : d _(2) =1 :16`