Home Work Help!!!

[janaki]

A body falls freely from a height 'h' . Find the time taken to reach the ground and the velocity which body hits the ground??

[EdEarl]

No need to post twice.

[pwagen]

I really hope the whole exercise isn't to come up with a generalized formula, because I don't want to find out I may have done your whole assignment. Also, it's been years since I did any of this, so I'm probably way off.

 

You have height and acceleration (gravity). You could use the formula [latex]d = t_0 + 1/2at^2[/latex], where d would be h and a would be g, and solve for time. Then it's the simple matter of using the value of t in the formula [latex]v = at[/latex].

[daniton]

there are couple of ways to come up with answer.Try conservation of energy.it's a bet easy and quick .if you are familiar with calculus you can begun from the beginning definition of acceleration, velocity , this kind of thing

but really what grade are you?

[janaki]

Thank you for replay.

v_t² = v_0² + 2ax

 

here, x=h, a=g

 

therefore, v_t²= v₀²+2gh

 

v_t =v₀ + gt

 

therefore, t = v_t + v₀/ g

 

substituting v_t²

 

t² = v_t²- v₀²/ g²

 

t² = v₀ + 2gh - v₀²

 

t² = 2h / g

 

t = (2h/g)^1/2

 

is it right ??

there are couple of ways to come up with answer.Try conservation of energy.it's a bet easy and quick .if you are familiar with calculus you can begun from the beginning definition of acceleration, velocity , this kind of thing
but really what grade are you?

 

 

I'm Studying at 8^th standard

[daniton]

you don't have to go that much.

you got Vt = (2gh)^.5

the t = Vt/g eventhough you are right through that whole process.

[janaki]

okey