Question

A colony of troglodytes has been in a lengthy feud with its neighbors on the adjacent cliff. Colony A finally develops an important military breakthrough: it rolls bombs off its cliff at known rates of speed, thus gaining pinpoint accuracy in its attacks. If the cliffs are separated by 41.9 m and a bomb is rolled at 7.5 m/s, how far down the opposite cliff will it land? The acceleration due to gravity is 9.8 m/s 2 . Answer in units of m

Answer 1

Answer:

152.95 m

Explanation:

t = Time taken

u = Initial velocity

s = Displacement

a = Acceleration due to gravity = 9.8 m/s²

There is no acceleration in the horizontal direction

Time = Distance / Speed

$Time=\frac{41.9}{7.5}=5.587\ seconds$

Height

$s=ut+\frac{1}{2}at^2\\\Rightarrow s=0\times t+\frac{1}{2}\times 9.8\times 5.587^2\\\Rightarrow s=152.95\ m$

The ball will land 152.95 m down the opposite cliff