Answer:
a) 68.943 m
b) 41.846 m
c) 80.648 m
Explanation:
Given:
Delay in time for spectator A, t₁ = 0.201 s
Delay in time for spectator B, t₂ = 0.122 s
the delay in sound heard is the due to the distance being traveled by the sound from the kicker to the spectator
thus,
a) Distance of the kicker from A,
d₁ = speed of sound × time taken
d₁ = 343 m/s × 0.201 s = 68.943 m
b) Distance of the kicker from B,
d₂ = speed of sound × time taken
d₂ = 343 m/s × 0.122 = 41.846 m
c) Since the angle between the two spectators for the player is 90°
thus, a right angles triangle is formed.
where, the distance between the spectators is the hypotenuses (s) of the so formed triangle
Therefore,
s² = d₁² + d₂²
on substituting the values, we get
s² = 68.943² + 41.846²
or
s² = 6504.22
or
s = √6504.22
or
s = 80.648 m
hence, the distance between the spectators is 80.648 m
