Calculate Height of Freely Falling Object - 30m in 1.5s

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Homework Help Overview

The problem involves calculating the height from which a freely falling object descends, given that it takes 1.50 seconds to travel the last 30.0 meters before impact. The context relates to kinematics and the effects of gravity on falling objects.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to clarify the meaning of "free fall" and whether the object's initial motion affects the calculation. Some participants suggest finding the velocity at 30m above the ground and using that to determine the height where the velocity was zero. Others express confusion over differing velocity calculations based on the equations used.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and questioning the assumptions made about the object's motion. Some guidance has been offered regarding the calculation of velocities, but there is no explicit consensus on the correct approach yet.

Contextual Notes

Participants are grappling with the implications of the object's initial conditions and the definitions of variables in their equations. There is also a noted misunderstanding regarding the impact velocity, which is not assumed to be zero.

kash25
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A freely falling object requires 1.50 s to travel the last 30.0 m before it hits the ground. From what height above the ground did it fall?


I have been working on this for a while and seem to be going wrong somewhere.
I am unclear as to how free fall is meant here. I know that it need not refer to an object that is simply falling and can refer to any object that is experiencing gravity alone. How can I tell whether this object was thrown upward before falling? Does it make a difference?

Thanks.
 
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Find the velocity of the object when it is 30m above the ground. Then use this to find out the height above the 30m where the velocity was 0. Just use formulas where you have the most knowns and fewest unknowns.
 
i was doing that but i got different velocities depending on which equation i used...:
velocity(Average)=(vsub30m + vsubground)/2
20 = vsub30m/2
vsub30m=40m/s
if i do the same thing with the equation deltaX = vsub30m*t + .5at^2,
i get something like 12.6 for vsub30m..
where am i going wrong?
 
Hi kash25,

kash25 said:
i was doing that but i got different velocities depending on which equation i used...:
velocity(Average)=(vsub30m + vsubground)/2
20 = vsub30m/2

This line is not right. You have assumed that vsubground=0; however, vsubground is the impact velocity (the velocity right before it touches the ground) and so is not zero.
 

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