Linear Motion Question: Object thrown vertically

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SUMMARY

The discussion revolves around a physics problem involving an object thrown vertically with an initial speed of 'a' and an initial height 'h'. The object travels for 't' seconds before hitting the ground with a final speed 'b'. The key equations used are xf = xo + volt + 0.5(-10)t² and vf = vo + (-10)t. A critical point raised is the confusion regarding the interpretation of 'a' being halved to '0.5a' and how to determine the hang time in relation to 't'. The consensus is to utilize the equations of motion for the entire trajectory without splitting the time into two segments.

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Homework Statement


An object is thrown upwards vertically with an initial speed of a and an initial height of h. It travels for t seconds until it hits the ground with a speed of b. If a was 0.5a, what would the hang time be in terms of t?

Homework Equations


xf=xo+volt+.5(-10)t^2
vf=vo+(-10)t

The Attempt at a Solution


I tried to split up this problem into two parts: 1) object moving up 2) object moving down. But t is given as the time of the entire problem so I don't know how to split t up for the two parts.
 
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coffee38392 said:

Homework Statement


An object is thrown upwards vertically with an initial speed of a and an initial height of h. It travels for t seconds until it hits the ground with a speed of b. If a was 0.5a, what would the hang time be in terms of t?

Homework Equations


xf=xo+volt+.5(-10)t^2
vf=vo+(-10)t

The Attempt at a Solution


I tried to split up this problem into two parts: 1) object moving up 2) object moving down. But t is given as the time of the entire problem so I don't know how to split t up for the two parts.
What do you mean on "If a was 0.5a"?
 
coffee38392 said:

Homework Statement


An object is thrown upwards vertically with an initial speed of a and an initial height of h. It travels for t seconds until it hits the ground with a speed of b. If a was 0.5a, what would the hang time be in terms of t?

Homework Equations


xf=xo+volt+.5(-10)t^2
vf=vo+(-10)t

The Attempt at a Solution


I tried to split up this problem into two parts: 1) object moving up 2) object moving down. But t is given as the time of the entire problem so I don't know how to split t up for the two parts.

If you can't split the problem up, then don't. Trust that equations of motion work for the whole trajectory.

I assume you mean that the initial speed changes to ##0.5a##?
 

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