Problems with finding initial velocity of an object

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Homework Help Overview

The problem involves determining the minimum initial speed of a dart required to hit a monkey falling from a height of 12.2 m while the dart travels a horizontal distance of 48 m. The scenario is set in a physics context, specifically dealing with projectile motion and the effects of gravity.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the time it takes for both the dart and the monkey to reach their respective positions, with one participant calculating the time for the monkey's fall. Others question the conditions under which the dart might not reach the monkey in time.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the relationship between the time of flight for the dart and the monkey, but no consensus has been reached on the initial speed required.

Contextual Notes

Participants are working with the assumption that air resistance can be ignored, and they are considering the implications of the horizontal and vertical motion of both the dart and the monkey.

lGLOVEl
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Homework Statement


In the figure below, what is the minimum initial speed of the dart if it is to hit the monkey before the monkey hits the ground, which is 12.2 m below the initial position of the monkey, if x is 48 m and h = 11 m? (Ignore any effects due to air resistance.)
Use this figure: http://imgur.com/xDVaz
From my calculations I have that it takes 1.6s for the monkey to fall 12.2m.

Homework Equations


x=X0 + V0t + 1/2(a)(t^2)

The Attempt at a Solution


Im stuck :/
 
Last edited:
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Why wouldn't the dart reach the monkey in time?
 
The time for the dart traveled horizontally distance of x = time the dart traveled up distance of h = time travelled by the monkey downward to height of h
 
Last edited:

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