Projectile motion with two objects

AI Thread Summary
The discussion revolves around a physics problem involving projectile motion, where a shot glass hits a whisky bottle, causing both to move. The shot glass lands 2.4 meters away, while the bottle is propelled off the shelf at 1.2 m/s from a height of 0.8 meters. Participants are trying to calculate the time both objects are in the air, the horizontal velocity of the shot glass after impact, and the landing distance of the bottle. There is confusion regarding the application of equations and the separation of data for the two projectiles. Clarifications on the approach and visual aids like sketches are suggested to aid understanding.
OccamsRazor1
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Homework Statement


A flying shot glass hits a bottle of whisky behind the bar and topples it. The shot glass bounces off the bottle and lands some distance away, while the bottle falls off the shelf with a much smaller horizontal velocity.

Shotglass lands 2.4m from where it originally hit the bottle. The bottle is propelled sideways off the shelf at a velocity 1.2m/s. Both objects start from a height of 0.8m

a)How long are the shot glass and whisky bottle in the air?
b)What is the horizontal velocity of the shot glass after it leaves the whisky bottle?
c)How far does the whisky bottle land horizontally from the shelf?

2. Homework Equations (What I think are the relevant equations)

v_f+v_i=2d/t
d=1/2at^2+v_i(t)

The Attempt at a Solution


a) v_f=0, v_i=1.2m/s
v_i=2d/t
1.2m/s=2(2.4m)/t
t=2d/v_i
t=4.8m/1.2m/s=4.0s

b) :(

c) :(
 
Last edited:
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Hi OccamsRazor1, Welcome to Physics Forums.

Can you give some details about your attempt for part (a)? It looks to me like you're mixing data from the two different projectiles.

Did you draw and label a sketch of the scenario?
 
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