# Calculus

posted by .

A rock is dropped from the top of a 400-foot-tall building. Its distance s (in feet) from the top of the building after t seconds is s(t) = 16t^2. How many seconds will it take the rock to hit the ground?

• Calculus -

hit the ground == drop 400 ft. So,

16t^2 = 400
Now just solve for t.

## Similar Questions

1. ### Algebra 2

If an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time t is given by: h=-16t^2+vt+s (where h and s are in ft, t is in seconds and v is in ft/sec) If a rock is …
2. ### physics

A rock is shot vertically upward from the edge of the top of a tall building.The rock reaches its maximum height above the top of the building 1.90 s after being shot. Then, after barely missing the edge of the building as it falls …
3. ### physics

A 2.0 kg rock is dropped from the top of a building. I lands 14.0 seconds later. How tall was the building?
4. ### College math

A rock is thrown from the top of a tower that is 400 feet tall. If its height above the ground can be modeled by h = -16t2 + 64t +400 where h is in feet, and t is in seconds. To the nearest tenth of a second, how long does it take …
5. ### algebra

Rock is thrown from the top of a building. The formula h=-16t+234 describes the height of the rock, h in feet, t seconds after the rock is thrown. how long after the rock is thrown does it hit the ground?
6. ### algebra 1

h=-16t2+20t+24 gives the height h of the rock after t seconds. how many seconds does it take for the rock to hit the water 24+20=16t 44=16t 44/16=16/16 2.75 seconds
7. ### calculus 1

A rock is dropped off the edge of a cliff its distance S (in feet) from the top of the cliff after T seconds is S(T) = 16t^2. Assumme the distance from the top of the water below is 96ft. When will the rock strike the water?
8. ### calculus 1

A rock is dropped off the edge of the cliff and its distance S ( in feet ) from the top of the cliff after T seconds is S ( T ) = 16t^2. Assume the distance from the top ofthe cliff to the water below is 96ft Make a table of the average …
9. ### Science

A 5.0 kg rock is dropped from the top of a building the speed of the rock after it has fallen for 4.2 seconds is _______meter per second
10. ### Physics

A rock dropped from the top of a building takes 0.55 s to fall the last 50% of the distance from the top to the ground.How tall is the building?

More Similar Questions