Question

A colony of troglodytes has been in a lengthy feud with

itsneighbors on a cliff 42m away. Colony A finally develops
animportant military breakthrough. It rolls rocks off its cliff
atknown speed thus gaining pinpoint accuracy as it attacks. If a
rockis rolled at a speed of 6.9m/s, how far down the cliff will
itland?

Answer 1

h = 181.73 m

Step-by-step explanation:

given,

distance between the neighbors = 42 m

speed of the rock rolling = 6.9 m/s

vertical velocity of ball = 0 m/s

height of the cliff = ?

time taken by the ball to travel 42 m

d = s x t

s is the horizontal speed of the ball equal to 6.9 m/s

`t =(d)/(s)`

`t =(42)/(6.9)`

t = 6.09 s

same time will be taken by the ball to travel vertical distance

Using equation of motion

`h = u t + (1)/(2)gt^2`

`h = 0+ (1)/(2)gt^2`

`h = (1)/(2)* 9.8 * 6.09^2`

h = 181.73 m