A bowling ball traveling with constant speed hits the pins at the end of a bowling lane 16.5 m long. The bowler hears the sound of the ball hitting the pins 2.90 s after the ball is released from his hands. What is the speed of the ball? The speed of sound is 340 m/s. Answer to the nearest 0.001 m/s.

To find the speed of the ball, we can use the equation:

distance = speed × time

In this case, the distance is the length of the bowling lane (16.5 m), and the time is the time it takes for sound to travel from the pins to the bowler (2.90 s).

First, let's find the time it takes for the ball to travel the length of the bowling lane. Since the ball is traveling at a constant speed, we can use the equation:

time = distance / speed

Plugging in the values we know, we get:

16.5 m = speed × time

Next, let's find the time it takes for sound to travel from the pins to the bowler. The speed of sound is given as 340 m/s, and the distance traveled by sound is the length of the bowling lane (16.5 m). Using the equation:

time = distance / speed

Plugging in the values we know, we get:

2.90 s = 16.5 m / 340 m/s

Now, we can set the two equations equal to each other:

speed × time (ball) = distance (ball) = distance (sound) = time (sound) × speed (sound)

speed × 16.5 m = 2.90 s × 340 m/s

Simplifying the equation:

speed = (2.90 s × 340 m/s) / 16.5 m

Calculating the result:

speed = 59.33333 m/s (rounded to the nearest 0.001 m/s)

Therefore, the speed of the ball is approximately 59.333 m/s.

since time = distance/speed,

16.5/s + 16.5/340 = 2.90
s = 5.787 m/s