The discussion focuses on solving for distance in projectile motion using integration. The user correctly integrates Vx to derive the distance formula d = V0*√(2h/g). However, it is noted that integration is unnecessary for this problem. Instead, a simpler approach using a SUVAT formula to determine descent time is recommended. This highlights the efficiency of using established kinematic equations over integration for certain projectile motion problems.
#1
nysnacc
184
3
Homework Statement
Homework Equations
Projectile motion.
Vy = 0
Vx = V0
The Attempt at a Solution
I integrate Vx to find d in terms of t
I found d = V0*√(2h/g)
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?