A car is moving with a speed of 72 ~km/h towa | vedclass

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(C) The speed of the car is $v_c = 72 ~km/h = 72 	imes \frac{5}{18} = 20 ~m/s$. In $t = 10 ~s$,the distance traveled by the car is $d_c = v_c 	imes

Vedclass · Accepted Answer

$340$

Vedclass · Answer

(C) The speed of the car is $v_c = 72 ~km/h = 72 	imes \frac{5}{18} = 20 ~m/s$. In $t = 10 ~s$,the distance traveled by the car is $d_c = v_c 	imes t = 20 	imes 10 = 200 ~m$. The initial distance of the car from the hill is $D = 1800 ~m$. When the echo is heard,the car has moved $200 ~m$ closer to the hill,so its new distance from the hill is $1800 - 200 = 1600 ~m$. The sound travels from the car to the hill $(1800 ~m)$ and then reflects back to the car at its new position $(1600 ~m)$. Total distance traveled by sound $d_s = 1800 + 1600 = 3400 ~m$. Speed of sound $v_s = \frac{d_s}{t} = \frac{3400}{10} = 340 ~m/s$.

$A$ car is moving with a speed of $72 ~km/h$ towards a hill. The car blows its horn at a distance of $1800 ~m$ from the hill. If the echo is heard after $10 ~s$,what is the speed of sound in $m/s$?

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