# physics

posted by .

A person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of vi = 13 m/s. The cliff is h = 58 m above the water's surface, as shown below.
(a) How long does it take for the stone to fall to the water?
s
(b) With what speed does it strike the water?
m/s

• physics -

h=1/2 g t^2 solve for time t to hit the surface.
speed? ?
in the vertical v= at
in the horizontal v=13m/s

vf= sqrt(vvertical^2+13^2)

• physics -

Assume the initial kick is in a horizontal direction. Vertical motion is not affected.

(a)
(1/2) g t^2 = 58 m when it hits the water

Solve for t.

(b) The new kinetic energy will be the initial kinetic energy PLUS M g H
where H = 58 m.

(M/2)*Vfinal^2 = (M/2)*vi^2 + M g H

Cancel the M's and solve for Vfinal

Vfinal^2 = vi^2 + 2 g H

## Similar Questions

1. ### physics

A person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of vi = 11 m/s. The cliff is h = 47 m above the water's surface, as shown below.
2. ### physics

A person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of vi = 11 m/s. The cliff is h = 55 m above the water's surface, as shown below. How long does it take for the stone to fall to the water?
3. ### Physics

A person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of vi = 20 m/s. The cliff is h = 53 m above the water's surface, as shown below. (a) How long does it take for the stone to fall to the water?
4. ### physics

a person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of 18 ms. The cliff is 52m above the waters surface. How long does it take for the stone to fall to the water?
5. ### physics

A person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of vi = 13 m/s. The cliff is h=37 m above the water's surface, as shown below. With what speed does it strike the water?
6. ### Physics

A person standing at the edge of a seaside cliff kicks a stone horizontally over the edge with a speed of 14.3 m/s. The cliff is 47.6 m above the water's surface. How far in meters from the base of the cliff does the stone land?
7. ### Physics

A person standing at the edge of a seaside cliff kicks a stone horizontally over the edge with a speed of 14.3 m/s. The cliff is 47.6 m above the water's surface. How far in meters from the base of the cliff does the stone land?
8. ### physics

A person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of vi = 16 m/s. The cliff is h = 60 m above the water's surface, as shown below. (a) How long does it take for the stone to fall to the water?
9. ### physics

A person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of vi = 16 m/s. The cliff is h = 60 m above the water's surface, as shown below. How long does it take for the stone to fall to the water?
10. ### Physics

a person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of 10 m/s. the cliff is 48 m above the water's surface as shown. how long does it take for the stone to fall to the water?

More Similar Questions