Rock's Max Horizontal Distance from Volcano: 500m

[peace1709]

A 500m high volcano eject rocks at a speed 30 m/s.What is max horizontal distance reached by the rock?

 

[rl.bhat]

Hi peace1709, Welcome to PF.
What do you about the problem?
In what direction the rocks are moving?
which are the relevant equations?

 

[peace1709]

i use the equation range= [(V initial)^2 x (sin 2A)]/[g].
where v inital is 30 m/s and i assume A=45 degrees, and g=9.8 m/s^2
but i got the answer wrong.

 

[peace1709]

i got 91.7 m and its wrong, can u help me?

 

[rl.bhat]

In your calculation you have not taken into account the height of the volcano.

 

[peace1709]

oh ya.but i don't know how to relate the height. can u help me?

 

[rl.bhat]

You can use the formula
y = yo + v*t - 0.5*g*t^2.
Here v = vo*sinθ
And t = x/vo*cosθ
y is the final position of the rock and yo is the initial position of the rock.