# If a rock is droped from a cliff and lands in 8 seconds how high is the cliff?

h = (1/2)gt2

h = (1/2)(9.8)(82)

= 313.6 m

### A rock is thrown from a cliff and hits the ground 5 seconds later at a distance of 50 meters from the cliff How high was the cliff?

Assuming you throw the rock horizontally off the cliff it drops down at the acceletrtion of gravity. height= 1/2 gt^2 With g = 9.8 m/sec and t = 5 seconds we have height = (1/2) (9.8)(5)(5) = 122.5 meters notice it has nothing todo with the 50 meter distance, which depends on the horizontal velocity.

### A monkey runs off the edge of a cliff He hits the water below 5m from the base of the cliff How fast was he running if the cliff was 10m high?

There are two major steps in solving this problem. First, we have to figure out how long it takes a monkey to fall 10m. Second, we divide the distance from the base of the cliff by the number of seconds to estimate the unfortunate simian's velocity. To get the time the monkey falls, (assuming this is on Earth with gravitational acceleration equal to 9.8 m / s), use the equation d = 4.9t2 . t…