Question

I need all of the variables defined such as the knowns and unknowns and then the equation worked out without numbers plugged in and then another equation with the number of this problem plugged in. Thank you!

Challenge Problem: Punctured Tank A large tank of water sits directly on flat ground. It has a water level h = 0.8 meters above the ground. It has a small puncture at a height y = 0.6 meters above ground. Water is replenished as it runs out, to keep h constant. a. Find the speed with which the water leaves the hole. b. Find the distance the water will travel horizontally before hitting the ground. (The water follows normal projectile motion after leaving the hole.) C. Could the hole be placed at a different height to get the water to travel a longer range? (Discuss this in the "Reflect" section on your template. Hint: It will be easier to address part-c if you leave h and y in variable form as long as possible.)

Answer 1

Answer

. (a) Given height of water level= (h)= 0.8m Height of hole from ground (y): 0.6m Speed with which water leaves the hole is given as wa Jag(ty) = J2x9.8 x 10.8-0.6) = √2x9.8* 0:2 - 13.92 mis = 1.97 mis (b) Distance travelled by water is given as x=25h-y y = 2 Jo.2x0.5 = 0.69m (C) Yes, hole can be placed at different height to travel water at longer range. Max - Mange of water can be obtained when the chole is made at height of the from the groundie y= h so a= 2 { [h - f) f h