An actor shoots a gun at a special stunt wall, which explodes when hit by the bullet. The wall is 80.8 m away, and the actor hears the sound of the explosion 0.430 s after shooting the gun. What is the average speed of the bullet?
Use 343m/s as the speed of sound
can someone solve this?
Use 343m/s as the speed of sound
can someone solve this?
1 Answer
May 30, 2018
Let average speed of bullet be
Time taken by bullet to reach stunt wall
#t_b=80.8/v_b\ s#
After explosion time taken by sound to reach actor's ear
#t_s=80.8/343\ s#
Total time elapsed after shooting of gun and hearing of explosion
#t_T=t_b+t_s=80.8/v_b+80.8/343\ s#
Equating it to the given value we get
#80.8/v_b+80.8/343=0.430#
#=>80.8/v_b=0.430-80.8/343#
#=>v_b=80.8/(0.430-80.8/343)=415.6\ ms^-1#
