Question

A construction worker 40.0 m above the ground drops his hammer. How long does his shouted warning take to reach the ground if the speed of sound under these conditions is 335 m/s?

Answer 1

0.239seconds

Step-by-step explanation:

Using the formula for calculating the distance between the worker (source) and the reflector (ground) expressed as shown:

2x = vt where:

x is the distance between the source and the reflector

v is the velocity of sound in air

t is the time taken by is shout warning to reach the ground

Given parameters

x = 40.0m

v = 335m/s

Required

The time taken by is shout warning to reach the ground

Using the formula 2x = vt

t = 2x/v

t = 2(40)/335

t = 80/335

t = 0.239seconds

Hence it will take 0.339 seconds for his shout warning to reach the ground