Linear Motion Question: Object thrown vertically

[coffee38392]

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+vot+.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.

 

[ehild]

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+vot+.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"?

 

[PeroK]

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+vot+.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 $0.5a$?