What is the Average Velocity of a Stone Tossed in the Air?

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Homework Help Overview

The problem involves calculating the average velocity of a stone tossed in the air, described by a height function h(t) = 20t - 4.9t², over a specified time interval. The context is kinematics, focusing on motion under gravity.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to compute average velocity using the formula Vavg = change in distance/change in time but is uncertain about determining the change in distance from the given height equation. Other participants inquire about specific height values at given times and the elapsed time between those points.

Discussion Status

The discussion is active, with participants exploring the necessary calculations to find height at specific times and clarifying the concept of average velocity. There is an acknowledgment of the implications of starting and ending at the same height, as noted by one participant.

Contextual Notes

Participants are navigating the constraints of the problem, including the need to evaluate the height function at specific time intervals and the implications of net distance traveled in relation to average velocity.

vysero
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Here is my problem:

A stone is tossed in the air from ground level with an initial velocity of 20m/s. Its height at time t is h(t) = 20t-4.9t^2 m. Compute the stones avg velocity over the time interval [1.5,2.5].

I understand how to compute average velocity its Vavg=change in distance/change in time. However, I am running into a problem trying to figure a change in distance from the equation they gave me.

I tried searching in the library for a similar question but could not find one.
 
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What is the height at time t = 2.5 s?
What is the height at time t = 1.5 s?
How much time elapsed between time t = 1.5 s and time 2.5 s?
 
Oh I get it so I plug those values into the formula to get the height and then I compute the average velocity? Cool thanks!
 
Important point- if you throw a rock from ground level so that it goes to a very great height, then comes down and hits the ground again, obviously it must have had a large velocity at certain time. But since it started at ground level and got back to ground level, its net distance traveled is 0 and its average velocity over that time is 0.
 

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