You are watering your lawn with a hose when you put your finger over the hose opening to increase the distance the water reaches. If you are pointing the hose at the same angle, and the distance the water reaches increases by a factor of 3, what fraction of the hose opening did you block? Solution Here, as the range is given as Range = v^2 * sin(2* theta)/g hence , when increasing the range by 3 times v^2 becomes 3 times v becomes sqrt(3) times Now, for the fraction of blocked area 1 - A2/A1 = 1 - 1/sqrt(3) fraction of blocked area = 0.422 the fraction of the blocked area is 0.422 .