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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?

Respuesta :

Answer:

h = 181.73 m

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

[tex]t =\dfrac{d}{s}[/tex]

[tex]t =\dfrac{42}{6.9}[/tex]

t = 6.09 s

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

Using equation of motion

[tex]h = u t + \dfrac{1}{2}gt^2[/tex]

[tex]h = 0+ \dfrac{1}{2}gt^2[/tex]

[tex]h = \dfrac{1}{2}\times 9.8 \times 6.09^2[/tex]

 h = 181.73 m

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