Posted by **Kacy** on Tuesday, September 21, 2010 at 1:47am.

A suspension bridge is 66.0 m above the level base of a gorge. A stone is thrown or dropped from the bridge. At the location of the bridge, g has been measured to be 9.83 m/s2. In each of the following, assume that there is no air resistance.

(a) If you drop the stone, how long does it take for it to fall to the base of the gorge?

s

(b) If you throw the stone straight down with a speed of 22.5 m/s, how long before it hits the ground?

s

(c) If you throw the stone with a velocity of 22.5 m/s at 25.0° above the horizontal, how far from the point directly below the bridge will it hit the level ground?

- physics -
**Anonymous**, Wednesday, September 22, 2010 at 2:37am
do u go to wayne state?

- physics -
**Henry**, Wednesday, September 22, 2010 at 7:15pm
a. d = 0.5gt^2,

66 = 0.5 * 9.83 t^2,

66 = 4.915t^2,

t^2 = 66 / 4.915 = 13.4,

t = sqrt(13.4) = 3.66 s.

b. d = Vo*t + 0.5gt^2,

66 = 22.5t + 0.5 * 9.83t^2,

66 = 22.5t + 4.915t^2,

4.915t^2 + 22.5t - 66 = 0,

Use Quadratic Formula to find t:

t = (- 22.5+- sqrt(506.25 + 1297.56))/

9.83,

t = (-22.5 +- 42.47) / 9.83,

t = 2.03 or -6.61, select positive t:

t = 2.03 s.

c. y = Ver.=22.5 m/s * sin25 = 9.5m/s

d(up) = d(down),

Vo*t = 0.5gt^2,

9.5t = 0.5 * 9.83t^2,

9.5t = 4.915t^2

4.915t^2 - 9.5t = 0,

Factor out t:

t(4.915t - 9.5) = 0,

t = 0: 4.915t - 9.5 = 0, 4.915t = 9.5,

t = 1.93 s (Ver),

d = Ver. = 9.5 m/s * 1.93 s = 18.4 m,

d = R = 18.4 m /sin25 = 43.5 m,

d = Hor. = 43.5 m * cos25 = 39.5 m = distance stone lands.

## Answer this Question

## Related Questions

- Physics - A stone is thrown upward from a bridge at a speed of 10 m/s. It ...
- physics - a coin is thrown horizontally with a speed of 12m/s from the top of a ...
- physics - A smooth stone is dropped from a bridge strikes the water after ...
- physics - A smooth stone is dropped from a bridge strikes the water after ...
- physics - A log is floating on swiftly moving water. A stone is dropped from ...
- physics - A stone is dropped into a river from a bridge 43.8 m above the water. ...
- physics - A stone is dropped into a river from a bridge 45.4 m above the water. ...
- physics - A stone is dropped into a river from a bridge 45.4 m above the water. ...
- physics - A stone is dropped into a river from a bridge 45.4 m above the water. ...
- physics - A stone is dropped into a river from a bridge 43.3 m above the water. ...