Time of Bomb Dropped from 2000m: Calculation

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Homework Help Overview

The discussion revolves around calculating the time a bomb is in the air when dropped from a height of 2000 meters by a plane flying at a speed of 720 km/h. The problem involves concepts from kinematics, particularly focusing on the independence of vertical and horizontal motion.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the use of kinematic equations to determine the time of fall, questioning the relevance of horizontal speed to the vertical motion. There is a discussion about the correct initial vertical velocity and the appropriate equations to apply.

Discussion Status

Some participants have provided insights into the independence of vertical and horizontal components of motion, while others are clarifying the correct approach to the problem. There is an ongoing exploration of the initial conditions necessary for the calculations.

Contextual Notes

Participants are navigating the implications of using the correct initial vertical velocity and the assumptions surrounding the motion of the bomb. The discussion reflects a mix of interpretations regarding the relationship between horizontal speed and vertical fall time.

hype_chicky
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if a plane is flying at 720 km/h and drops a bomb when it is 2000 m high what is the length of time the bomb was in the air?

So Viinitial is 720 km/h and d is 2000 m , g is 9.8 and to solve for t would i use the formuladeltay = Videltat + 1/2adeltay t^2?
 
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the vertical and horizontal component are independent, the result is not related to how fast the plane travel horizontally
 
delta x = viX dellta t
2000 = 720 km/h (delta t)
delta t = 2000m/ 720 km/h. Therefore the length of time the bomb was in the air is 2.7 seconds?
 
hype_chicky said:
So Viinitial is 720 km/h and d is 2000 m , g is 9.8 and to solve for t would i use the formuladeltay = Videltat + 1/2adeltay t^2?
This is the correct equation to use, but not the correct initial velocity. All you care about is the vertical motion (which, as vincentchan points out, has nothing to do with the horizontal speed of the plane), so what's the initial speed in the vertical direction?
 

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